Respuesta :
Answer:
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the car after x years.
x represents the number of years.
b represents the initial value of the car.
r represents rate of decay.
From the information given,
A = $18700
P = $22000
x = 1
Therefore,
18700 = 22000(1 - r)^1
18700/22000 = (1 - r)^1
0.85 = 1 - r
r = 1 - 0.85
r = 0.15
Therefore, the exponential function is
y = 22000(1 - 0.15)^x
y = 22000(0.85)^x