In 1980, the average monthly rate for basic able TV in the United States was
$7.69. In 2008, the average monthly rate was $6.13. Assume a linear
relationship, and find the average rate of change in the monthly rate per year.

The average rate of change in the monthly rate per year is -$0.056 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the average rate of change in the monthly rate per year:

Step 1 - First, evaluate the difference in the average monthly rate.

Difference in rate = 6.13 - 7.69

                             = -$1.56

Step 2 - Now, determine the number of years between them.

Period between them = 2008 - 1980 = 28

Step 3 - Now, the average rate of change in the monthly rate per year is calculated as:

Rate = - 0.056

The negative sign indicates that the price decreases.

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The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.

Step-by-step explanation:

Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.

Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)

Period between the values =Final year - initial year = 2008 - 1980 = 28 years.

Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.

Rate of change per year = Difference in values in that period/ no of years.

                                          = -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)

So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.

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