Answer:
a. Quadratic function is used to model the data
b. Trade in value will be 0 after sqrt(50) years or slightly more than 7 years
c. Domain: [0 , ∞] , Range: [-∞,15000]
Step-by-step explanation:
The purchase price of the car is $15,000.
a. Trade value of the car x years after the purchase is represented by f(x) = 15000 - 300x^2.
This is a quadratic function which is used to represent the data.
b. Trade value will be 0 when 15000 - 300x^2 = 0
=> 300 x^2 = 15000
=> x^2 = 50
=> x= square root of 50 or [tex]\sqrt{x} 50[/tex]
c. Domain of x corresponds to all valid values of number of years post purchase, that is [0,∞]
Range of the function varies from [-∞ to 15000]
