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 inequality and solution is:
A 100 + 20x ≤ 250; They can boat for 7 hours.
To solve the inequality, we need to first subtract $100 from both sides:
20x ≤ 150
Then divide by 20:
x ≤ 7.5
Since they have to pay for a full hour even if they are not out for the whole hour, they can only rent the boat for 7 hours in order to spend $250 or less.