Question

Linda wants to rent a boat and spend at most $45. The boat costs $8 per hour, and Linda has a discount coupon for $3 off. What are the possible numbers of hours Linda could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for .

Answer 1

Linda can rent the boat for any number of hours equal to or less than 6 hours.

t ≤ 6

Step-by-step explanation

Total amount spent on the boat = (Amount charged for t hours) - (Discount)

Amount charged for t hours = (8) (t) = (8t) dollars

Dicount = 3 dollars

Total amount spent on the boat

= (Amount charged for t hours) - (Discount)

= (8t - 3) dollars

But, we are told that Linda has a maximum of 45 dollars to spend.

So,

8t - 3 ≤ 45

Add 3 to both sides

8t - 3 + 3 ≤ 45 + 3

8t ≤ 48

Divide both sides by 8

(8t/8) ≤ (48/8)

t ≤ 6 hours.

Hope this Helps!!!