A cell phone provider offers a plan that costs $40 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?
Let the number of text messages sent or received be represented by x.
The cost of the first plan is $40 + $0.10x.
The cost of the second plan is $50.
To find the number of text messages that would make the plans cost the same each month, we need to set up an equation and solve for x.
$40 + $0.10x = $50
Subtracting $40 from both sides of the equation, we get:
$0.10x = $10
Dividing both sides by $0.10, we get:
x = 100
Therefore, 100 text messages would have to be sent or received in order for the plans to cost the same each month.
If you send or receive an average of 200 text messages each month, which plan would you choose? Why?
The plan with
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the charge per text message
unlimited text messages
because
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more
less
than
enter your response here text messages are sent or received each month.
If you send or receive an average of 200 text messages each month, it would be more cost-effective to choose the plan with the charge per text message.
Under the first plan, you would pay a fixed cost of $40 per month, plus an additional $0.10 for each text message sent or received. With an average of 200 text messages per month, your total cost would be $40 + ($0.10 * 200) = $40 + $20 = $60 per month.
On the other hand, the second plan with unlimited text messages would cost a fixed amount of $50 per month, regardless of the number of text messages sent or received.
Since $60 is more than $50, it would be cheaper to choose the plan with the charge per text message if you send or receive an average of 200 text messages each month.