Question

A​ long-distance telephone company charges a rate of 8 cents per minute or a 50​-cent minimum charge per completed​ call, whichever is greater. Find the​ cost, in cents per​ minute, for a 3​-minute call.

Answer 1

Answer:

Cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.

Step-by-step explanation:

We are given the following in the question:

Plan A

A rate of 8 cents per minute.

Plan B

A 50​-cent minimum charge per completed​ call.

We have to find the​ cost, in cents per​ minute, for a 3​-minute call.

Cost according to plan A:

$\text{Cost per minute}\times \text{Call length in minutes}\\= 8 \times 3\\=24 \text{cents}$

Cost according to plan B:

50 cents for a 3 minute call

Rate =

$\displaystyle\frac{\text{Total cost}}{\text{Duration of call}} = \frac{50}{3} = 16.67 \text{ cents per minute}$

The company chooses the plan with greater cost, thus, it chooses plan B.

Thus, cost of a 3 minute call is 50 cents at a rate of 16.67 cents per minute.