The manufacturer's suggested retail price (MSRP) for a particular car is $25,140, and it is expected to be worth $11.475 in 5 years. (a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 8 years from now.
(c) At what rate is the car depreciating?
(a) What is the linear depreciation function for this car?
f(x) =
(Simplify your answer. Do not include the $ symbol in your answer.)
(b) What is the estimated value of the car 8 years from now?
$
(c) At what rate is the car depreciating?
The car is decreasing in value an average of $
a year

98 points djdjsi zisksis sjsjsi sisksj sksjdj sksks sjsisj

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

x=3y-6

step-by-step explanation:

solve for   x by simplifying both sides of the equation, then isolating the variable.