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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.

Respuesta :

Sinthea

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.
[tex]289 + (289 \times .06) \leqslant 8.5x + 75[/tex]
Then calculate how much the tablet would cost with tax.
[tex]306.34 \leqslant 8.5x + 75[/tex]
She already has 75 dollars so subtract it from the price with tax.
[tex]231.34 \leqslant 8.5x[/tex]
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.