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Stells [14]
3 years ago
13

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

each minute of calling time. In June she used 100 minutes and the cost was $54.00. In July she used 660 minutes and the cost was $138.00.
Express the monthly cost C as a function of x, the number of minutes of calling time she used.
Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

Answer:

a =\frac{138-54}{660-100}= 0.15

And using the minutes from June we can find the value for b the intercept

54 = 0.15*100 +b

b = 39

And the function would be:

C(x) = 0.15 x+ 39

Step-by-step explanation:

For this case we define the following notation first:

C represent the cost for a given month

x represent the number of minutes of calling time she used

And we want to find a function of C in terms of x

We have the following info:

June

x =100 , C = 54

July

x =660 , C = 138

For this case we can assume that we can use a linear function since we have just two points given, and the general formula would be:

C(x) = ax +b

Where a is the slope and can be estimated as:

a =\frac{138-54}{660-100}= 0.15

And using the minutes from June we can find the value for b the intercept

54 = 0.15*100 +b

b = 39

And the function would be:

C(x) = 0.15 x+ 39

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