SOLUTION: Johnny has paid $58 for his phone and for going 30 minutes over what his cell phone plan allows, and he has paid $62.50 for his bill and being $48 minutes over his plan. A. What

Question 357088: Johnny has paid $58 for his phone and for going 30 minutes over what his cell phone plan allows, and he has paid $62.50 for his bill and being $48 minutes over his plan.
A. What is an equation that will show how much he will pay depending on how many minutes he goes over.
B. What does the slope stand for in this problem.
C. What does the y intercept stand for in this problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Johnny has paid $58 for his phone and for going 30 minutes over what his cell phone plan allows, and he has paid $62.50 for his bill and being $48 minutes over his plan.
Let "a"be normal rate and "b" be overtime rate.

A. What is an equation that will show how much he will pay depending on how many minutes he goes over.
(30,58) and (48,62.50)
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slope = (62.50-58)/(48-30) = 4.5/18 = 1/4
c(x) = mx + b
58 = (1/4)(30) = b
b = 50.50
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B. What does the slope stand for in this problem.
0.25 cents per additional minute of calling
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C. What does the y intercept stand for in this problem.
$50.50 is the basic cost for the service with a set number of minutes
of calling.
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Cheers,
Stan H.

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