Question

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.

Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.

A.
(2.5, 15)

B.
(5, 20)

C.
(7.5, 12.5)

D.
(17.5, 5)

E.
(19, 1)

Answer 1

A C

Explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

x = 40/3

Then we solve for y

y = 20 - x

y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120