Question

Nate would like to purchase a new laptop for school from Best Buy. The store is offering a $100 mail in rebate on all Lenovo Laptops. Nate is planning to spend anywhere between $300 -$500. Sales tax is 8% of the total cost after the rebate has been given. Write the compound inequality to represent this scenario.

Answer 1

`300\leq (p-100)*1.08 \leq 500`

Explanation:

This would be the compound inequality formula for the given situation. This is because Nate is planning on spending somewhere between 300 and 500 dollars. Therefore the price (represented by the variable p) needs to be greater than or equal to 300 but at the same time less than or equal to 500. But this is after the rebate and sales tax have been calculated into the laptop's price. Which in this scenario, the rebate needs to be applied first and then the sales tax is applied after as 1.08 in order to apply the 8% onto the price itself.