Question

state whether the decay is linear or exponential, and answer the associated question.
the value of a car is decreasing by 9% per year. if the car is worth $12,000 today, what will it be worth in two years?

state whether the decay is linear or exponential.
the decay is exponential since the quantity decreases by the same relative amount.
what will the car be worth in two years?
$
(round to the nearest cent as needed.)

Explanation:

Identify the decay type

Using the Exponential Decay knowledge point

$$ \text{Decay type} = \text{exponential} $$

Calculate the value after two years

Using the Exponential Decay knowledge point

$$
LATEXBLOCK0
$$

Answer:

State whether the decay is linear or exponential, and answer the associated question.

The value of a car is decreasing by 9% per year. If the car is worth $12,000 today, what will it be worth in two years?

State whether the decay is linear or exponential.

The decay is <blank>exponential</blank> since the quantity decreases by the same <blank>relative</blank> amount.

What will the car be worth in two years?

$<blank>9937.20</blank>
(Round to the nearest cent as needed.)