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.

Answer 1

To solve this we need to create equations with x being text messages

30 + .10x = 50

So .10x = 20

20/.1 = 200

The answer is 200 text messages

Answer 2

Explanation:

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 =
`(20)/(0.10)`

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.