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.
