Problema Solution

In 1994, the average monthly cost for expanded basic cable television service was $21.62. In 2004, this cost had increased to $38.23. Write a linear equation that models the montly cost as a function of the number of years since 1994. Predict the average monthly cost of expanded basic cable television service in 2010.

Answer provided by our tutors

We assume the function is y = ax+b, y is average monthly cost for expanded basic cable television service, x is the number of years since 1994, in 1994, x = 0.

x = 0, y = 21.62

x = 10, y = 38.23

b = 21.62

10a + b = 38.23

a = 1.661

So

the function is y = 1.661 + 21.62

 y is average monthly cost for expanded basic cable television service, x is the number of years since 1994