At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 from this account for her contact lenses. After 3 months she has $255 left in her account.


Write an equation in slope-intercept form to represent the relationship between the time that has passed and the amount of money left in Monica's account. Let x represent the time in months and y represent the amount of money remaining in the account.

Answers

Answer 1

Answer:

An equation in the slope-intercept form is:

[tex]y = 15x+210[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Let x represent the time in months Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

so, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting [tex]m = 15[/tex], [tex]x = 3[/tex] and [tex]y = 255[/tex] in the slope-intercept form to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]255 = 15(3) + b[/tex]

switch sides

[tex]15(3) + b = 255[/tex]

[tex]45 + b = 255[/tex]

[tex]b = 255 - 45[/tex]

[tex]b = 210[/tex]

Thus, the y-intercept b = 210

Now, substituting [tex]m = 15[/tex] and [tex]b = 210[/tex] in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 15x+210[/tex]

Hence, an equation in the slope-intercept form is:

[tex]y = 15x+210[/tex]

Related Questions

5(x + 5y) - {2x – [3x – 3(x – 2y) + y]} simplfy​

Answers

Answer:

3x+20y

Step-by-step explanation:

First write down the expression.

5(x + 5y) - {2x – [3x – 3(x – 2y) + y]}

Now, the first thing you would have to do is the first parenthesis

5(x+5y)

5x+25y

So far, the expression looks like this: 5x+25y - {2x – [3x – 3(x – 2y) + y]}

No we would do the smallest parenthesis in the expression.

Which is: (x – 2y)

But since there is nothing to simplify, we move on

Next one is  [3x – 3(x – 2y) + y]

We have to do 3(x-2y) first

This is equal to: 3x-6y

So far, the expression looks like this:5x+25y - {2x – [3x – 3x-6y + y]}

The next step is still in the other parenthesis up top

Which is: [3x – 3x-6y + y]

We have to add up the x's and y's

Which is -5y

Our expression now looks like this:5x+25y - 2x-5y

Since we don't have anymore parenthesis, we look for the same letter and add or subtract them.

We have to do 5x-2x=3x

25y-5y=20y

So that means our final answer is :3x+20y

Hope this answer is correct!

If It is, can you give me brainliest, it took me almost 25 minutes to write this down.

Find the domain of the graphed function.
10
-104
A. -4sxs8
B. -4 sxs 9
C. xis all real numbers.
D. X2-4

Answers

Answer:

Answer would be B.

Step-by-step explanation:

there are two dors located at x= -4 and x=9

The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones​

Answers

Answer:

9

Step-by-step explanation:

because half of the 8 pastries served were blueberry. so you would divide 18 by 2

whoever’s correct i will make their question as brainliest! :) be quick please

Answers

Correct answer is 6x^8 y^5 hope it helps

write (4x^4)^2 without exponents

Answers

Answer:

256x * 16

Step-by-step explanation:

[tex](4x^{2} * 4)^{2}[/tex]

(4x * 4x * 4) * (4x * 4x * 4 )

(16x * 4 ) * ( 16x *4)

16x * 16x = 256x

4 * 4 = 16

256x * 16

hope this helped a little

* = multiply

The given expression without exponent is

[tex]4 \cdot 4 \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x[/tex]

Given :

[tex](4x^4)^2[/tex]

Explanation

We need to write the given without exponents

outside exponent is 2 . so we multiply the parenthesis twice

[tex](4x^4)^2\\4x^4 \cdot 4x^4\\16 \cdot x^4 \cdot x^4\\ 16 \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x\\4 \cdot 4 \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x[/tex]

Learn more : brainly.com/question/16735114

Jacks father drives to work in 30 min when driving at his usual speed. When traffic is bad, he drives 30mph slower and the trip takes one hour longer. How far is Jacks Fathers work from home in miles

Answers

Answer:

The distance of Jack's Father's work from home in miles is 45 miles.

Step-by-step explanation:

a) Data and Calculations:

Normal time taken by Jack's father to drive to work = 30 minutes

Time taken when traffic is bad = 1 hour longer

Speed when traffic is bad = 30 mph slower

Distance covered when traffic is bad, with time taken as 1 hour 30 minutes = time * speed = 1.5 * 30 = 45 miles

b) Jack's father normally drives at 90 mph (45 *2), this is why it normally takes him 30 minutes between his home and workplace when the traffic is not bad.  However, when traffic is bad, it takes him one hour longer and he drives at 30 mph slower.

what is the equivalent fraction of 6 over 7​

Answers

Answer:

hope it helped

Step-by-step explanation:

6/7 12/14 18/21

Rate of girls to boys
88 girls
96 boys

Answers

Answer:

girls are always better and with be better than boys ;)

Step-by-step explanation:

Answer:

okkk

Step-by-step explanation:

1. Work out these calculations
104 divide to 4 =
168 divide to 7 =
342 divide to 6 =
423 divide to 9 =
472 divide to 8 =
305 divide to 5 =
112 divide to 7 =
207 divide to 9 =
2. Work out these division calculations with their remainders (e.g.: 25r1)
351 divide to 6 =
509 divide to 9 =
398 divide to 8 =
375 divide to 4 =
436 divide to 7 =
296 divide to 3 =
254 divide to 9 =
345 divide to 6 =
396 divide to 7 =
964 divide to 5 =
231 divide to 4 =
3. What is the missing digit?
?7 x 9 = 333

Answers

Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

Part A: If each batch of cupcakes makes 12 cupcakes; how many batches will the bakery need to bake to
make 90 cupcakes?

Answers

Answer:

7,5

........................

Solve for x. Round to the nearest hundredth.

Answers

Answer:

Do you have a picture?

Step-by-step explanation:

Without using a calculator, fill in the blanks with two
consecutive integers to complete the following
inequality.
56 <

Answers

Answer:

Pretty sure its 7 and 8

Step-by-step explanation:

test it out

Answer:

7<sqaure root of 56<8

Step-by-step explanation:

khan


What is the y - intercept of EACH line?
Line 1
Line 2
( will give brainliest)

Answers

Step-by-step explanation:

The y-intercept is the value where the line crosses the y-axis.

y-intercept of Line 1 (blue) = 4.

y-intercept of Line 2 (red) = 1.

Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4

Answers

Answer: 41.4

Step-by-step explanation:

1243/30=41.4

Find the missing length

Answers

Answer:

26

Step-by-step explanation:

Choose all the expressions that are equal to 3.27 ÷ 100.
A. 32.7 ÷ 1,000
B. 3.27 ÷ 102
C. 0.327 ÷ 1
D. 3,270 ÷ 103
E. 0.327 ÷ 10

Answers

Answer:

eab

Step-by-step explanation:

Answer:

   0.0327  there i helped -_-

Np             0.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.03270.0327

Solve = Brainiest Plz Help

Answers

Answer:

Step-by-step explanation:

89

Find the missing lengths. Round to the nearest tenth as needed.
1. x
2. y
3. z

Answers

Answer:

The answer is X

Step-by-step explanation:

Sike, I aint finna help you. What you thoguht this was? A cheating website, get yo lil ah off this shi

I think it’s x too, I took a very similar problem but I know now how to do it

many solutions.
9. Find the slope of the line that passes through the points (-2, 7) and (0, -1). Then write the equation of the line in
slope-intercept form (y = mx +b).
What’s the answer ????

Answers

Answer:

999

Step-by-step explanation:

JuiceWRLD

Complete each of the following division problems by first writing each of them as a fraction.

A. -6 divided 8
B. 6 divided (-8)
C. 0 divided 8
D. 6 divided 0

Answers

Answer:

Step-by-step explanation:

A. -6/8=-3/4

B.6/(-8)=-3/4

C. 0/8=O

D.6/0=Undefine

we are told 5 miles is 8km. Convert 12.5miles to km

Answers

Answer:

20.1168

Step-by-step explanation:

#carryonlearning

#carryonlearning

#carryonlearning

Determine a rational number that is located between -2 14
and -2.8. Help

Answers

Answer:

-9/4, -5/2, so on. As it is a proper/improper fraction it is good.

Step-by-step explanation:

20% is 25% of _______________.

Answers

20 is 25% of 80. Not sure if you meant that first percent sign.

Find the slope of the line.
(Will give brainliest)

Answers

Answer:bro its just a  black picture

Step-by-step explanation:

A 36 inch post cast a shadow of 24 inches. At the same time a telephone pole cast a shadow of 22 ft 8 in. What is the height in feet of the telephone pole?

Answers

Answer:

The height of the telephone pole is of 408 inches = 34 ft.

Step-by-step explanation:

Each foot has 12 inches.

A 36 inch post cast a shadow of 24 inches.

This means that the shadow is [tex]\frac{24}{36} = \frac{2}{3}[/tex] of the real height.

At the same time a telephone pole cast a shadow of 22 ft 8 in.

Each feet has 12 inches, so it has:

22*12 + 8 = 272 in.

2/3 of the real height is 272 in. So

[tex]\frac{2h}{3} = 272[/tex]

[tex]h = \frac{272*3}{2}[/tex]

[tex]h = 408[/tex]

The height of the telephone pole is of 408 inches = 34 ft.

$80 gift marked up 60%

Answers

Answer: 25% markup

Step-by-step explanation:

25% is the answer/markup.

2. Explanation
X and Y are whole numbers.
X% Y finds the remainder after you divide X by Y.
For example, 7 % 3, means divide 7 by 3 and determine what is left over (7 divided by 3
equals 2 and the remainder is 1). So, 7% 3 equals 1.
Question
If X is a number. Which of the following will find the last digit of X?
For example, the last digit of 1327 is 7.
O A:X% 2
O
B:X%3
O C:X% 5
O D:X% 10
O EX% 100

Answers

Answer:

x%3

Step-by-step explanation:

The remainder of a division is the whole number, after the complete division. The expression that finds the last digit of 1327 is: [tex]X \% 10[/tex]

Given that:

[tex]X = 1327[/tex]

To do this, we simply test the given options.

[tex]X \%2 = 1327 \% 2[/tex]

When 1327 is divided by 2,

The result is 663, remainder 1

So, we have:

[tex]X \%2 = 1[/tex]

[tex]X \%3 = 1327 \% 3[/tex]

When 1327 is divided by 3

The result is 442, remainder 1

So, we have:

[tex]X \% 3 = 1[/tex]

[tex]X \% 5 = 1327 \% 5[/tex]

When 1327 is divided by 5

The result is 265, remainder 2

So, we have:

[tex]X \% 5 = 2[/tex]

[tex]X \% 10 = 1327 \% 10[/tex]

When 1327 is divided by 10

The result is 132, remainder 10

So, we have:

[tex]X \% 10 = 7[/tex]

[tex]X \% 100 = 1327 \% 100[/tex]

When 1327 is divided by 100,

The result is 13, remainder 27

So, we have:

[tex]X \% 100 = 27[/tex]

Hence, the expression that finds the last digit is: [tex]X \% 10[/tex]

Because the result is 7

Read more about remainder operations at:

https://brainly.com/question/8152888

What is the decimal expansion of 1/22

Answers

Answer:

0.04545454545

Step-by-step explanation:

Divide 1 by 22

Answer:

0.0454545454545454545

Step-by-step explanation:

(1/2 times 1/11)

PLEASE HELP I BEG OF YOU!???

Answers

Answer:

24.9

first to find the price of the DVD's you multiply 5 x 4.40 which is 22, then you add the 2.90 10 get 24.90.

btw plz put me as brainliest.

Which statement correctly explains how Marì could find the solution to the following system of linear equations using
elimination?
2f-5g=-9
-7+3g=4

Answers

Given that,

The equations : 2f-5g=-9  and -7f+3g=4

To find,

The solution of the above equations.

Solution,

We have,

2f-5g=-9  ....(1)

-7f+3g=4 ......(2)

Multiply equation (1) by 7 and equation (2) by 2.

14f-35g=-63  ....(3)

-14f+6g=8 ......(4)

Add equation (3) and (4)

14f-35g -14f+6g = -63 + 8

-29g = -55

g = 55/29

g = 1.89

Put the value of g in equation (1).

2f-5(1.89)=-9

2f = -9+5(1.89)

f = 0.225

Hence, the solution of the above equations are g = 1.89 and f = 0.225.

Answer:

A

Step-by-step explanation:

edg 2021

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