Neeed !
kelly bought a new car for $20,000. the car depreciates at a rate of 10% per year.
what is the decay factor for the value of the car?
write an equation to model the car’s value.
use your equation to determine the value of the car six years after kelly purchased it.

a) decay factor is b = 0.9

b) y = 20,000(0.9)^x

c) y = $10,629

Step-by-step explanation:

a) What is the decay factor for the value of the car?

The formula used to find the decay factor is

y = a(b)^x

where y = future value

a = current value

b = decay factor

x = time

The decay factor is: b = 1-r

We are given rate r = 10% or 0.1

b = 1 - 0.1

b = 0.9

So, decay factor is b = 0.9

b) Write an equation to model the car’s value.

Using the formula:

y = a(1-r)^x

y = 20,000(1-0.1)^x

y = 20,000(0.9)^x

c) Use your equation to determine the value of the car six years after Kelly purchased it.

y = 20,000(0.9)^x

We need to find value after 6 years, so x=6

y = 20,000(0.9)^6

y = 10,628.82

y = $10,629

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.