Question

Hans wants to rent a boat and spend less than $47. The boat costs $7 per hour, and Hans has a discount coupon for $9 off. What are the possible numbers of hours Hans could rent the boat? Use t for the number of hours. Write your answer as an Inequality solved for t.

Answer 1

t < 8

Step-by-step explanation:

Given that Hans wants to spend less than $47

Let t represent the number of time (in hours) Hans can spend with his budget.

The the inequality below is correct

`7t-9<47`

As he is only willing to spend less than $47 despite having a $9 coupon

Solving for t

Add 9 to both sides of the inequality

`\begin{gathered} 7t-9+9<47+9 \\ \\ 7t<56 \end{gathered}`

Divide both sides by 7

`\begin{gathered} (7t)/(7)<(56)/(7) \\ \\ t<8 \end{gathered}`