Question

Karen earns $8 per hour shoveling snow and $10 per hour babysitting. She wants to earn more than $80 per week but work fewer than 12 hours. The system of inequalities shown represents the number of hours of shoveling, s, and the number of hours of babysitting, b, she must complete to reach her goal.

8s + 10b > 80

s + b < 12

Which are possible solutions for the number of hours Karen can work at each job and still reach her goals? Check all that apply.

Answer 1

2 hours shoveling snow; 6 hours babysitting
2 hours shoveling snow; 8 hours babysitting
4 hours shoveling snow; 7 hours babysitting
6 hours shoveling snow; 6 hours babysitting
8 hours shoveling snow; 3 hours babysitting

Answer 2

@ganeshie8

Answer 3

plug the numbers in each option in the given inequalities and see which ones satisfy ?

Answer 4

lets try first option
`2 hours shoveling snow; 6 hours babysitting`

s = 2, b = 6

do they satisfy both the inequalities ?
8s + 10b > 80
s + b < 12

Answer 5

For the first equation 76>80 which is not true @ganeshie8

Answer 6

Good! try next option

Answer 7

Second option :
`2 hours shoveling snow; 8 hours babysitting`

s = 2 and b = 8

do they satisfy both the inequalities ?
8s + 10b > 80
s + b < 12

Answer 8

I already solved it entirely

Answer 9

good, what options satisfy the inequalities ?

Answer 10

It is the 2nd,3rd and last option @ganeshie8

Answer 11

thats right! good job :)

Answer 12

Thanks can you help me on 2 more @ganeshie8