Ann wants to rent a boat and spend at most $64 . The boat costs $7 per hour, and Ann has a discount coupon for $6 off. What are the possible numbers of hours Ann could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t .
To find the possible numbers of hours Ann could rent the boat, we will use the given information to create an inequality.
Let's start by figuring out the cost of renting the boat for t hours without the discount coupon. We know that the boat costs $7 per hour. So, without the discount, Ann would pay $7 for each hour she rents the boat. Therefore, the cost without the discount can be expressed as 7t.
Since Ann has a discount coupon worth $6 off, she will pay $6 less than the cost without the discount. So, the cost with the discount coupon can be expressed as 7t - 6.
We know that Ann wants to spend at most $64 on renting the boat. Therefore, we can set up the following inequality:
7t - 6 ≤ 64
Now, we'll solve this inequality for t to find the range of possible values:
7t - 6 ≤ 64
Add 6 to both sides:
7t ≤ 70
Divide both sides by 7 (since we want to isolate t):
t ≤ 10
Therefore, the possible numbers of hours Ann could rent the boat are any value less than or equal to 10.
In inequality form, this is: t ≤ 10.