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:
[tex]\frac{150}{\text{money earn per room}}=\frac{150}{\frac{50}{room}}=3rooms.[/tex]
2) If Sam wants to work a maximum of exactly 10 hours, he can paint a maximum of:
[tex]\frac{10\text{ hours}}{\text{time spent per room}}=\frac{10\text{ hours}}{\frac{2\text{ hours}}{room}}=5rooms.[/tex]
The range of rooms that Sam can paint is {3,5}.
Answer
A. r = {3, 5}
