A furniture store delivers for $40 plus $0.75 for every mile they have to travel from the store. Which function represents the cost for delivery, c(m), given the distance from the store, m, in miles, and how much does delivery cost for someone who lives 60 miles from the store?
A.
c(m) = 40 + m
$80.00
B.
c(m) = 40.75 + m
$100.75
C.
c(m) = 40 + 0.75m
$85.00
D.
c(m) = 40.75 + 0.75m
$90.75
The correct answer is D.
The function c(m) = 40.75 + 0.75m represents the cost for delivery, where 40.75 is the base cost of $40 plus the additional cost per mile of $0.75 multiplied by the distance m in miles.
To find out how much delivery costs for someone who lives 60 miles from the store, substitute m = 60 into the function:
c(60) = 40.75 + 0.75(60)
c(60) = 40.75 + 45
c(60) = 85.75
Therefore, the delivery cost for someone who lives 60 miles from the store is $85.00.