In 2006, Bell South advertised both a “Dollar Plan” and a “Nickel Plan” to its long distance customers in Charlotte, North Carolina. The Dollar Plan had a service charge of $1.00 a month, and a charge of 10¢ per long distance minute. The Nickel Plan had a $5.95 monthly fee, with long distance calls charged at 5¢ per minute.
a. Find a linear function model D(t) = … that gives the monthly cost of the Dollar Plan for long distance as a function of t, the number of minutes used.
b. How much is the monthly cost of the Dollar Plan if the customer uses 1 hour of long distance time?
c. Find a linear function model N(t) = … that gives the monthly cost of the Nickel Plan as a function of t, the number of minutes used.
d. What is the monthly cost of the Nickel Plan if the customer uses 1 hour of long distance time?
e. When is it cheaper to use the Dollar Plan, and when is it cheaper to use the Nickel Plan?
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