Problema Solution
math problem The phone company calculates a customer’s monthly cell phone bill as follows: monthly service charge: $35 voice charges: First 100 minutes: $0.018 per minute Second 100 minutes: $0.034 per minute Additional minutes: $0.055 per minute
a. What is the charge for a month in which 158 minutes were used?
b. What is the charge for a month in which 311 minutes were used?
c. Construct a piecewise function that gives the monthly charge for x minutes of usage.
Answer provided by our tutors
a.
35 + 0.018*100 + 0.034*(158 - 100) = $38.77
b.
35 + 0.018*100 + 0.034*100 + 0.055*(311 - 200) = $6.31
c.
f(x) = 35 + 0.018x, for x<=100
f(x) = 35 + 0.018*100 + 0.034(x - 100), for 100<x<=200
f(x) = 35 + 0.018*100 + 0.034*100 + 0.055(x - 200), for x > 200