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a. Write an ordered pair: (t, value), in which t is time from purchase and value is the current value of the car. In this case, it would be (0, Total Cash Price).
3. Find the amount of depreciation in 1 year. Determine the average rate of change (slope) in one year.
a. Write an ordered pair for the 1 - year value, which is (1, value after 1 year).
4. Find the total depreciation after 5 years.
a. Write an ordered pair for the 5 - year value, which is (5, value after 5 years).
5. Determine the following two average rates of change (slope) in the value of the car.
a. Average rate of change over 1 year
b. Average rate of change over 5 years
6. What is the practical meaning of the average rate of change over 5 years?

Respuesta :

The value of the car decreases by $1430 per year over 5 years

The initial ordered pair

The given parameters are:

  • Total Cash Price: $13,755
  • 1 year depreciation: $1,811

So, the ordered pair is (0, 13,755)

The amount in depreciation after 1 year

In (a), we have:

  • Total Cash Price: $13,755
  • 1 year depreciation: $1,811

The difference in the amounts is

Difference = 13755 - 1811

Difference = 11944

So, the ordered pair is (1, 11,944)

Total depreciation after 5 years

We have:

5 year depreciation = $7,150

The difference in the amounts is

Difference = 13755 - 7150

Difference = 6605

So, the ordered pair is (5, $6,605)

Average rates of change

This is calculated as:

m = (y2 - y1)/(x2 - x1)

Over 1 year, we have:

m = (13,755-11,944)/(0-1)

m =-1811

Over 5 years, we have:

m = (13,755-6605)/(0-5)

m =-1430

The meaning of the average rate of change over 5 years

The average rate of change over 5 years is -1430

This means that the value of the car decreases by $1430 per year

Read more about average rates of change at:

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Missing information in the question

Total Cash Price: $13,755

1 year depreciation: $1,811

5 year depreciation: $7,150