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 A) 100 + 20x ≤ 250; They can boat for 7 hours.
To solve this inequality, subtract 100 from both sides: 20x ≤ 150.
Then, divide both sides by 20 to isolate x: x ≤ 7.5.
Since they have to rent the boat for a whole hour, they can only rent the boat for a maximum of 7 hours.