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 ​$60 per month but offers unmited text messaging. How many text messages would have to be sent or received in order for the plans to cost the same each​ month?

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Answer 1

300 messages would have to be sent or received in order for the plan to cost same each month.

Step-by-step explanation:

Given,

Cost per month = $30

Per text sent or received charges = $0.10

Let,

x be the number of texts sent or received.

A(x) = 0.10x+30    

A comparable plan costs = $60 per month

Text messages are unlimited.

B(x) = 60

For the two plans to cost equal;

A(x) = B(x)

$0.10x+30=60\\0.10x=60-30\\0.10x=30$

Dividing both sides by 0.10

$\frac{0.10x}{0.10}=\frac{30}{0.10}\\x=300$

300 messages would have to be sent or received in order for the plan to cost same each month.

Keywords: function, addition

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