Question

An appliance store delivers appliances that it sells. For appliances that have to be installed, it charges $0.40 per mile and then $45 for the installation. Otherwise, the store just charges $0.75 per mile for the delivery. Which system represents the total cost, c, for deliveries of m miles? (4 pts.) A.C = 0.45 + 4m C= 75m B.C = 45 + 0.4m C = 75+ m C.C = 45m + 0.4 C = 75m D.C = 45 + 0.4m C = 75m

Answer 1

Start by identifying the independent variable and the dependent variable

Costs: dependent variable

Miles: independent variable

the fixed value for the first case $45

the fixed value for the second case is $0

the slopes are the variable changes

slope case 1: 0.40

slope case 2: 0.75

write the equations in slope y-intercept form

first case:

C= 0.40x + 45

Second case

C= 0.75x