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C=12.90+0.11t how many text messages can Malcolm send and receive for $20

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The function for the cost of text messages is given by:


c=12.90+0.11t

If we have a total cost of $20, we then can solve for the number of text messages:


20=12.90+0.11t\Rightarrow20-12.90=0.11t

Dividing both sides of the equation by 0.11, we have:


(7.1)/(0.11)=t\Rightarrow t=64.5454\ldots

That is, for $20, Malcolm is able to send and receive about 64 message.

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