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The value of this car is decreasing at a rate of 6% per year.
The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
V(t) = 38000 (0.94)^t
Cleary, above function is an exponential function
while putting certain values in equation we have certain outcomes.
for,
V(1) = 35720; V(2) =33576.8; V(3) = 31562.192
Now, the rate of change is given by = [V(2)-V(1)/ V(1)] x 100
= [(33576.8-35720)/35720]*100
= 6%
now V(2) x 6% = V(3)
33576.8 x 6% = 31562.192 = V(3)
Thus, The required rate of decreasing care price is 6%.
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