Question

Use the table to answer the question.

f(x)

0 32,000

x

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)
(1 point)

The value of the car after three years is $

(to the nearest cent).


y

40,000-

35,000-

30,000

25,000

20,000

15,000

10,000

5,000

Amount (dollars)

10 12
Time (years)

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)

O Ast increases, a increases 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 decreases quickly at first and then slowly.

2

4

6

8

14 16

18

Answer 1

1) f(3) = 32,000(0.92)^3 = $24,918.02 (to the nearest cent).

2) True statement: "As t increases, a increases slowly at first and then quickly."