Question

Joffrey is signing up for a new Internet service plan that initially costs $49.99 a month. After a 3-month trial period, the company increases the price by 25%. Additionally, the company charges a flat-fee of $10 a month for service charges. If Joffrey is going to need Internet access for the next m months, where m > 3, how much will he be charged, in dollars?

49.99(1.25m) + 10m
49.99(3) + 49.99(1.25)(m − 3) + 10m
49.99(1.25)(3) + 49.99(m − 3) + 10m
49.99(1.25)(10m)

Answer 1

B. 49.99(3) + 49.99(1.25)(m − 3) + 10m

Explanation:

Let's do this step by step.

Initially, it costs $49.99 a month, for the first three months.

49.99(3)

After three months, the company increases price by 25%. So with m=month, that means that after three months, the price is 1.25% of what it was before. We multiply 49.99 times 1.25 to find the new price.

49.99(3) + 49.99(1.25)(m-3)

They also charge $10 a month.

49.99(3) + 49.99(1.25)(m-3) + 10m