Question

select the correct answer.

patty buys a new car and gets it appraised every few years. after owning the car for 3 years, its value is $15,000. after owning the car for 5 years, its value is $9,000.

if patty gets her car appraised after owning it for 6 years, what will the cars value be in this inverse variation situation?

$2,500
$4,000
$6,000
$7,500

Explanation:

Set up the inverse variation equation

$$ V = \frac{k}{t} $$

Determine the constant of variation

$$
LATEXBLOCK0
$$

Calculate the value at six years

$$
LATEXBLOCK1
$$

Answer:

• (A) $2,500
• (B) $4,000
• (C) $6,000
• (D) $7,500 (Correct answer)