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 $40 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 send or received.
(Simplify your answer. Type an integer or a decimal.)
Let's assume x represents the number of text messages sent or received.
For the first plan, the cost is $30 per month plus $0.10 per text message, so the total cost is 30 + 0.10x.
For the second plan, the cost is a flat rate of $40 per month.
To find the number of text messages that would make the two plans cost the same, we set the two equations equal to each other and solve for x:
30 + 0.10x = 40
Subtract 30 from both sides:
0.10x = 10
Divide both sides by 0.10:
x = 100
Therefore, 100 text messages would have to be sent or received in order for the plans to cost the same each month.