whitakers87
08.09.2019 •
Mathematics
You purchase a car from a dealership for $15,000. the trade-in value of the car x years after the purchase is given by the function f(x) = 15,000 - 300x^2.
a. what type of function could be used to model the data?
b. after how many years will the trade-in value be $0
c. in this situation, what is the domain and range?
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Ответ:
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
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]
Ответ:
1/2 x 2= 1
1/8 x 2= 1/4
3/8 x 2= 3/4
3/4 x 1/4 = 3/16
3/16 x 1 = 3/16
YOUR ANSWER IS 3/16 dry ingredients