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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 :

Answer:

t < 8

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

[tex]7t-9<47[/tex]

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

[tex]\begin{gathered} 7t-9+9<47+9 \\ \\ 7t<56 \end{gathered}[/tex]

Divide both sides by 7

[tex]\begin{gathered} \frac{7t}{7}<\frac{56}{7} \\ \\ t<8 \end{gathered}[/tex]

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