Belinda is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three years: Number of years 1 2 3
Car 1 (value in dollars) 32,000 26,000 20,000
Car 2 (value in dollars) 32,300 27,455 23,336.75

Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a car that would have the greatest value in five years. Will there be any significant difference in the value of either car after five years? Explain your answer, and show the value of each car after five years. (4 points)

Kindly check explanation

Step-by-step explanation:

Car A follows a linear pattern, as a straight well fitted line was obtained from the regression model, with a fixed amount as Depreciation per year.

CarB follows an exponential trve das obtained on the regression plot.

Using technology :

Where, f(x) = price of car

The linear function for car 1 :

f(x) = - 6000x + 38000

THE exponential function :

f(x) = 38000(0.85)^x

In 5 years :

Car 1:

f(5) = - 6000(5) + 38000 = 8000

Car 2 :

f(x) = 38000(0.85)^5 = 16,860.801

Hence, car 2 has the the greatest value after 5 years

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: