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. How did you determine the pair(s) (x, y) that Leah could work to meet the given conditions in item 15?

Babysitting= 13.3 hours

Icecream shop= 6.6 hours

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for icecream shop be y

we are told that Leah would like to earn $120 monthly

She babysits for $5 per hour and

works at an ice cream shop for $8 per hour

5x+8y=1201

Leah cannot work more than a total of 20 hours per month

x+y≤202

The system of equation for the situation is

5x+8y=120

x+y≤20

x=20-y

put x=20-y in eqn 1

5(20-y)+8y=120

100-5y+8y=120

3y=120-100

3y=20

y=20/3

y=6.6 hours

put y=6.6 in eqn 2

x+6.6≤20

x≤20-6.6

x=13.3hours

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is