Question

A cell phone provider offers a plan that costs $30 per month plus $0.10 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text messaging

Complete parts a, and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same, text messages would have to be sent or received.
(Simplify your answer. Type an integer or a decimal.)

Answer 1

Answer: A cell phone provider offers a plan that costs $30 per month plus $0.10 per text message sent or received.

A comparable plan costs $50 per month but offers unlimited text messaging.

Let the number of massages be x

the total amount costs for plan A = $30 + $0.10x

We will calculate the number of messages at which both the companies charge equal amount.

30 + 0.10x = 50

0.10x = 50 - 30

0.10x = 20

x =

x = 200

At 200 massages both plan would charge equal.

Below 200 massages plan A will charge less but over 200 messages plan B would be better option.

Explanation: