Question

tyler filled a small jar with quarters and dimes and donated it to his schools charity club. the club member receiving the jar asked, do you happen to know how much is in the jar? tyler said, i know its at least $8.50, but i dont know the exact amount.
a. write an inequality to represent the relationship between the number of dimes, d, the number of quarters, q, and the dollar amount of the money in the jar.
b. graph the solution set to the inequality and explain what a solution means in this situation.

Explanation:

Step1: Determine the value of each coin

A dime is worth $0.10$ dollars and a quarter is worth $0.25$ dollars.

Step2: Form the inequality

The total value of dimes is $0.10d$ and the total value of quarters is $0.25q$. Since the total amount is at least $8.50$, the inequality is $0.10d + 0.25q\geq8.50$.

Answer:

$0.10d + 0.25q\geq8.50$