Question

Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Which inequality represents the minimum number of weeks (w) he needs to work, in order to have enough money to buy the go-cart?

Answer 1

he would have to work 163 weeks

Answer 2

Hello!

The answer is:

$MinimumNumberOfWeeks\geq5$

Why?

First, we need to find the money that Jarred needs including the money that he has already saved.

$MoneyNeeded=1200-400=800$

So, Jarred needs $800.

If he earns $160 a week, we can find the minimum weeks he has to work in order to earn $800 following the next steps:

$WeeksToWork=\frac{MoneyNeeded}{WeeklyEarn}=\frac{800}{160}=5$

So, if he has to work at least 5 weeks to earn the total amount of money, it can be expressed by the following inequality:

$MinimumNumberOfWeeks\geq5$

Have a nice day!