Question

During the summer, Martin estimates that he must earn between $600 and 1000 inorder to pay for his car insurance. If he earns $8 an hour, how many hours must hework? Variable Represents:Inequality:Solve:Sentence:

Answer 1

Answer:

75≤h≤125

Explanation:

Let the variable = h

Variable h represents: the number of hours which he must work

If he works for h hours and earns $8 an hour, his income = $8h.

Since he must earn between $600 and 1000 in order to pay for his car insurance, we have the inequality

$600\leq8h\leq1000$

Next, we solve for h.

$\begin{gathered} \frac{600}{8}\leq\frac{8h}{8}\leq\frac{1000}{8} \\ 75\leq h\leq125 \end{gathered}$

Martin must work between 75 to 125 hours in order to be able to pay for his car insurance.