Question

Zoé is working two summer making $7 per hour babysitting and making $15 per hour clearing tables. In given week, She can make a maximum of 14 total hours in must earn at least $130. If Zoe worked 4 hours babysitting, determine all possible values for the number of who I was clearing the tables that she must work to meet her requirements. Your answer should be a comma separate list of values. there are no possible solutions, submit an empty answer

Answer 1

The answer it (7,8,9,10) hours

Answer 2

{7, 8, 9, 10}

Explanation:

Having worked 4 hours babysitting, Zoé has already earned 4×$7 = $28, so only needs to earn $130 -28 = $102 more.

At $15 per hour, it takes her $102/$15 = 6.8 hours to earn that amount. In order to keep her total hours to a maximum of 14, Zoé cannot work any table-clearing hours more than 14 -4 = 10. The possible solutions for Zoé's hours doing table clearing are ...

{7, 8, 9, 10} . . . . hours

_____

We have assumed Zoé must work whole numbers of hours.