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. What is the constant of proportionality in this inverse variation?

45,000.

Step-by-step explanation:

The equation of inverse variation is given by:-

, where k is the constant of proportionality.

Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.

Here,

Then,

or  [answer is same in both cases.]

Hence, the constant of proportionality in this inverse variation is 45,000.

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step-by-step explanation: