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Algebraic Expressions Question

A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.

Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.





Algebraic Expression: ________________


Part B
How much will it cost for installation and one year of basic cable service?

Explain:





















Total Cost: ______________


This problem is continued on the next page.



Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?

Explain:








Respuesta :

barnuts

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

 

 

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

 

 

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

 

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

 

Therefore the total cost C1 + C2 is:

$1,559.26

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