Question

Michael borrowed 445 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least 65 from his paycheck each week. If x represents the number of weeks and y represents his debt, which linear inequality represents the amount of debt Michael has remaining?

a.y ≥ 445 - 65x
b. y ≥ 445 + 65x
c. y ≤ 445 + 65x
d. y ≤ 445 - 65x

Answer 1

The amount of debt Michael has remaining can be represented by the inequality y ≥ 445 - 65x.

Step-by-step explanation:

The amount of debt Michael has remaining can be represented by the inequality y ≥ 445 - 65x.

This is because Michael starts with a debt of 445, and each week he repays at least 65 from his paycheck. The variable x represents the number of weeks, so 65x represents the total amount Michael has repaid over x weeks.

Therefore, to find the remaining debt, we subtract the total amount repaid (65x) from the initial debt (445) and set this expression greater than or equal to 0, resulting in the inequality y ≥ 445 - 65x.