Question

a delivery service charges $25 plus $1.20 per mile for service a and $40 plus $1.00 per mile for service b. which inequality represents the minimum number of miles, d, for which service a costs more than service b? a. $25 + 1.20d > 40 + 1.00d$ b. $25 + 1.00d > 40 + 1.20d$ c. $40 + 1.20d > 25 + 1.00d$ d. $25 + 1.20d < 40 + 1.00d$

Explanation:

Step1: Determine cost for Service A

Service A charges $25 plus $1.20 per mile. So the cost for \( d \) miles is \( 25 + 1.20d \).

Step2: Determine cost for Service B

Service B charges $40 plus $1.00 per mile. So the cost for \( d \) miles is \( 40 + 1.00d \).

Step3: Set up inequality for Service A > Service B

We need the inequality where Service A costs more than Service B. So we set \( 25 + 1.20d > 40 + 1.00d \).

Answer:

A. \( 25 + 1.20d > 40 + 1.00d \)