Naem is setting up a mobile phone for his grandmother. He doesn't expect her to use it much, so he gets her a pay-as-you-go plan without any included minutes, but only a very low flat monthly fee. The first month, Naem's grandmother talks for 18 minutes and when the bill arrives it is for $12.70.  The second month she talks for 26 minutes and the bill is $13.90.   Write the linear model to represent C, cost, as a function of m, the number of minutes that Naem's grandmother uses the phone. Now that you know the equation for how much Naem's grandmother's phone will cost based on how much she uses it, let's look at a few possible scenarios. If she starts liking the phone and talks for 229 minutes in April, how much will the phone bill be? Naem can add his grandmother to his family plan with unlimited talk time for $25 per month.  How many minutes would she routinely have to talk on her pay-per-minute plan for it to cost this much? With the pay-per-minute plan, what is the charge for each minute that Naem's grandmother talks What is the flat monthly total for service fees and taxes for Naem's grandmother's phone?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Naem is setting up a mobile phone for his grandmother. He doesn't expect her to use it much, so he gets her a pay-as-you-go plan without any included minutes, but only a very low flat monthly fee. The first month, Naem's grandmother talks for 18 minutes and when the bill arrives it is for $12.70.  The second month she talks for 26 minutes and the bill is $13.90.  

Write the linear model to represent C, cost, as a function of m, the number of minutes that Naem's grandmother uses the phone.

Now that you know the equation for how much Naem's grandmother's phone will cost based on how much she uses it, let's look at a few possible scenarios. If she starts liking the phone and talks for 229 minutes in April, how much will the phone bill be?

Naem can add his grandmother to his family plan with unlimited talk time for $25 per month.  How many minutes would she routinely have to talk on her pay-per-minute plan for it to cost this much?

With the pay-per-minute plan, what is the charge for each minute that Naem's grandmother talks

What is the flat monthly total for service fees and taxes for Naem's grandmother's phone?

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