The Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours.
If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Formulate an inequality and solve.
Responses
A 100 + 20x ≤ 250; They can boat for 7 hours.100 + 20x ≤ 250; They can boat for 7 hours.
B 100 + 20x ≥ 250; They can boat for 8 hours.100 + 20x ≥ 250; They can boat for 8 hours.
C 100 + 20x ≤ 250; They can boat for 8 hours.100 + 20x ≤ 250; They can boat for 8 hours.
D 100 + 20x ≥ 250; They can boat for 7 hours.
The correct answer is C.
The inequality to represent the situation is 100 + 20x ≤ 250, where x represents the number of hours they can rent the boat.
By solving this inequality, we can find the maximum number of hours they can rent the boat.
Subtracting 100 from both sides gives us 20x ≤ 150.
Dividing both sides by 20 gives us x ≤ 7.5.
Since they cannot rent the boat for a fraction of an hour, the maximum number of hours they can rent the boat is 7 hours. Therefore, the correct answer is C.