Q:

 A cell phone provider offers a plan that costs ​$30 per month plus​$0.20 per text message sent or received. A comparable plan costs $60per 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, 150 text messages would have to be sent or received.​(Simplify your answer. Type an integer or a​ decimal.)b. If you send or receive an average of 5050 text messages each​ month, which plan would you​ choose? Why?The plan with ▼  because ▼  than?text messages are sent or received each month.

Accepted Solution

A:
Part a. is correct. It is 150.

Part b.
First plan: $30 + $0.20 per text
For 50 texts
$30 + 0.20 * 50 = $30 + $10 = $40
For 50 texts, the first plan costs $40

For 50 texts per month, the first plan is better because it costs only $40 instead of $60
Second plan: $60 no matter how many texts