Question

sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on sunday sam hopes to make at least $150 painting rooms and can work for exactly 12 hours. which of the following sets represents the range of rooms(r) that sam can paint without violating either his monetary or time restriction?

Answer 1

From the statement of the problem, we have the following rules:

0. Sam is paid $50 per room that the paints,

,

1. he can paint a room in exactly 2 hours.

We know that Sam:

0. hopes to make at least $150,

,

1. can work for a maximum of exactly 10 hours.

We want to know the range of rooms that Sam can paint without violating the rules.

1) To make at least $150, Sam must paint at least:

`\frac{150}{\text{money earn per room}}=(150)/((50)/(room))=3rooms.`

2) If Sam wants to work a maximum of exactly 10 hours, he can paint a maximum of:

`\frac{10\text{ hours}}{\text{time spent per room}}=\frac{10\text{ hours}}{\frac{2\text{ hours}}{room}}=5rooms.`

The range of rooms that Sam can paint is {3,5}.

Answer

A. r = {3, 5}