Question

30 Tabitha earns $8.50 per hour at her summer job. She want to save money to buy a tablet that costs $289 plus 6% sales tax. Tabitha has already saved $75. Write and solve an inequality that shows how many hours Tabitha will need to work to have enough money to buy the tablet.

Answer 1

If x is the number of hours she would have to work.

This is the inequality. She has to have exactly or more than how much the tablet costs with tax.

`289 + (289 * .06) \leqslant 8.5x + 75`
Then calculate how much the tablet would cost with tax.

`306.34 \leqslant 8.5x + 75`
She already has 75 dollars so subtract it from the price with tax.

`231.34 \leqslant 8.5x`
Divide to find x, the number of hours she has to work.

She has to work about 27.216 hrs or more to buy the tablet.