Question

Miguel wants to rent a boat and spend at most $52. The boat costs $7 per hour, and Miguel has a discount coupon for $4 off. What are the possible numbers of hours Miguel could rent the boat?

Use t for the number of hours- write your answer as an inequality solved for t. this is due today plz help thank you!

Answer 1

t ≤ 8

"At most" is equivalent to "less than or equal to". So the inequality is going to involve the less than or equal to symbol. The boat costs $7 per hour and that can be represented by:

7t

A discount coupon means subtracting $4 from the 7t:

7t - 4

When these are placed with the inequality:

7t - 4 ≤ 52

Solving this inequality means isolating the variable. To do this, adding 4 to both sides will be the first step.

7t ≤ 56

Finally, dividing both sides by 7 will get the final answer of 8, meaning the possible number of hours Miguel could rent the boat is no more than (less than or equal to) 8.