Question

A 15-passenger van isrented for a family vacation.The van rental is 460 perday, plus a $145 insurancefee. How many days can thevan be rented if they want tospend no more than $625 onthe van rental. Write andsolve an inequality

Answer 1

To solve the exercise, let x be the number of days the family can rent the van.

Now, writing the sentence in mathematical language, you have the inequality

$60x+145<625$

To solve the inequality, first, subtract 145 on both sides:

$\begin{gathered} 60x+145-145<625-145 \\ 60x<480 \end{gathered}$

Divide by 460 from both sides of the inequality

$\begin{gathered} \frac{60x}{60}<\frac{480}{60} \\ x<\frac{480}{60} \\ x<8 \end{gathered}$

Therefore, the family can rent the van for 8 days and the correct answer is option 2.