Will medal !

baxter is thinking about buying a car for $18,500. 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) 17,390 16,346.60 15,365.80
car 2 (value in dollars) 17,500 16,500 15,500

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: baxter wants to purchase a car that would have the greatest value in 9 years. will there be any significant difference in the value of either car after 9 years? explain your answer, and show the value of each car after 9 years. (4 points)

answer: a) car 1 : exponential function

car 2 : linear function

b) for car 1, function is,

for car 2, function is,

c) the price of car 2 is 1100.4 (approx) more than the price of car 1 after 9 years.

step-by-step explanation:

a) since the given table, for car 1,

x( number of years)         1               2                 3    

y ( value in dollars)         17390       16346.60       15365.8

while the table for car 2,

x( number of years)         1               2                 3    

y ( value in dollars)         17500       16500       15500

since, for car 1, in first year rate of change in car 1 is -1043.4

and in second year rate of change in car 1 is -980.8

which is not constant for every year.

therefore, if f(x) is a function shows the price of car 1 after x year.

then f(x) can not be linear ⇒ f(x) is exponential.

since, for car 2, the rate of change is

which is constant for every year.

therefore, if f'(x) is a function shows the price of car after x year.

then f'(x) must be linear.

b) let

thus, with of the first table,

a = 18500.00321 ≈ 18500 and b= 0.93999878 ≈ 0.94

thus, the function that shows the price of car 1 after x years,

let f'(x) = ax+b

for, x =1

f'(1) = a + b

but according to the above table f(1) = 17500

thus, a+b = 17500 )

similarly, 2 a + b = 16500 )

by solving equation (1) and (2)

we get, a = - 1000 and b= 18500

thus, the function that shows the price of car 2 after x years,

f(x) = - 1000x + 18500

c) after 9 year the price of car 1,

after 9 year the price of car 2,

thus, the difference between the price of car 1 and 2 after 9 years is,

10600.4038412-9500= 1100.40384123≈ 1100.4

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation: