Question

Use the table to answer the question.

x

𝑓(𝑥)

0

32,000

1

29,440

2

27,048.80

3

?


Sydney bought a new car for $32,000.00. If the car depreciates in value by 8% each year, the situation can be modeled by the equation f(x)=32,000(0.92)x


(1 point)
The value of the car after three years is $
(to the nearest cent).
Question 2
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Title: An increasing curve with an arrow on the upper end is plotted on a coordinate plane. The x-axis is labeled time left parenthesis years right parenthesis. The y-axis is labeled amount left parenthesis dollars right parenthesis.

Lincoln’s parents invested $5,000 in a college savings account when he was born. If the account has a growth rate of 12%, the situation can be modeled by the equation a(t)=5,000(1.12)t
, where a is the amount after t years. Which one of the following statements is true about the graph of the function?

(1 point)
Responses

As t increases, a decreases slowly at first and then quickly.
As t increases, a decreases slowly at first and then quickly.

As t increases, a increases quickly at first and then slowly.
As t increases, a increases quickly at first and then slowly.

As t increases, a decreases quickly at first and then slowly.
As t increases, a decreases quickly at first and then slowly.

As t increases, a increases slowly at first and then quickly.

Answer 1

1) f(3) = 32,000(0.92)^3 = $24,918.02

2) Correct choice: "As t increases, a increases slowly at first and then quickly." (12% exponential growth accelerates over time.)