Carol would like to pay cash for a car when she graduates from college and estimates that she can afford a car that cost between $4000 and $8000. She has saved $500 so far and plans to earn the rest of the money by working the next two summers. If Carol plans to save the same amount each summer, use a compound inequality to find the range of money she must save each summer to buy the car.

Answer 1

let x = the amount she must save each summer.

She will have twice that amount, plus the 500 she already has. Altogether, that must come to at least 4000, but does not need to exceed 8000.

4000 <= 2x + 500 <= 8000

Solve for x