Question

Jane wants to rent a boat and spend less than $75. The boat costs $8 per hour, and Jane has a discount coupon for $5 off. What are the possible numbers ofhours Jane could rent the boat?Use t for the number of hours.Write your answer as an inequality solved for t.

Answer 1

Jane wants to rent a boat and spend less than $75.

The boat costs $8 per hour, and Jane has a discount coupon for $5 off

Let t for the number of hours

Then we can write the following inequality

`8t-5<75`

The discount coupon is being subtracted since it was off.

Let us solve the inequality for t

Step 1: Add 5 to both sides of the inequality

`\begin{gathered} 8t-5+5<75+5 \\ 8t<80 \end{gathered}`

Step 2:

Divide both sides of the inequality by 8

`\begin{gathered} (8t)/(8)<(80)/(8) \\ t<10 \end{gathered}`

This means that Jane could rent the boat for less than 10 hours

`t<10`