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Melissa wants to rent a boat and spend at most $38. The boat costs $6 per hour, and Melissa has a discount coupon for $4 off. What are the possible numbers of hours Melissa could rent the boat?Use t for the number of hours.Write your answer as an inequality solved for t.



Answer :

ANSWER:

[tex]t\leq7[/tex]

EXPLANATION:

Given:

Melissa wants to rent a boat and spend at most $38

Cost of boat per hour = $6

Discount coupon off = $4

Let t represent the number of hours

We can go ahead and set up the below inequality;

[tex]6t-4\leq38[/tex]

Let's add 4 to both sides of the inequality;

[tex]\begin{gathered} 6t-4+4\leq38+4 \\ 6t\leq42 \end{gathered}[/tex]

Let's divide both sides by 6;

[tex]\begin{gathered} \frac{6t}{6}\leq\frac{42}{6} \\ t\leq6 \end{gathered}[/tex]

So Melissa can rent the boat for up to 7 hours

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