Zoé is working two summer making $7 per hour babysitting and making $15 per hour clearing tables. In given week, She can make a

Question

2 years ago

12

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

Mathematics

2 answers:

Strike441 [17] · Answer 1 · 2022-08-28T08:54:16+03:00

Strike441 [17]2 years ago

8 0

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

Romashka-Z-Leto [24] · Answer 2 · 2022-08-28T06:43:19+03:00

Answer:

{7, 8, 9, 10}

Step-by-step 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.