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.)
b. if you send or receive an average of 150 text messages each month, which plan would you choose? why? the plan with ________ because ____ than _ text messages are sent or received each month
a. To find the number of text messages that would have to be sent or received in order for the plans to cost the same each month, we set up the equation:
$30 + $0.10x = $40
Where x represents the number of text messages.
Subtracting $30 from both sides, we have:
$0.10x = $10
Dividing both sides by $0.10, we find:
x = 100
Therefore, 100 text messages would have to be sent or received in order for the plans to cost the same each month.
b. If you send or receive an average of 150 text messages each month, you would choose the plan with unlimited text messaging because it would be more cost-effective.
The cost of the plan with unlimited text messaging is $40 per month, regardless of the number of text messages sent or received. However, with the $30 per month plan plus $0.10 per text message, sending or receiving 150 text messages would cost an additional $0.10 x 150 = $15.
Therefore, the plan with unlimited text messaging would be cheaper by $15 per month if you send or receive an average of 150 text messages each month.