Question

1. (10 pts) Mark is considering getting cable TV for his apartment. (a) Cable provider A charges a $300 installation fee and then charges $40 per month. Find the function A(m) which gives the total amount Mark has payed after using cable provider A for m months. (b) Mark remembers seeing an advertisement online for cable provider B. He can’t remember exactly how much provider B charges per month, but he does remember that the installation fee is $100 and that after the first year he would end up paying a total of $820. Find the function B(m) which gives the total amount Mark has payed after using cable provider B for m months. (c) Mark has decided to keep cable TV for 2 years. Which cable provider should he choose in order to spend the least amount of money? (d) Will there ever be a month where it would cost the same to use either provider A or provider B? If so, find the month. If not, explain why. (e) Graph the functions A(m) and B(m) on the same graph.

Answer 1

A) A = 40m + 300

b) 820 = x12 + 100
x = 60
B = 60m + 109