Question

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 40 90x. Which statement represents the meaning of each part of the function? (1) y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month. (2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (3) x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month. (4) x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.

Answer 1

(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.
y = 40 + 90x

y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.

Let us assume that the number of months of service is 10 months. then, the total cost would be:

y = 40 + 90(10)
y = 40 + 900
y = 940