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Elina [12.6K]
3 years ago
15

Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, it’s value is $15,000. After ownin

g the car for 5 years, it’s value is $9,000. What is the constant of proportionality in this inverse variation?
Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

The constant of proportionality in the inverse variation is -3000

Step-by-step explanation:

Given that the initial value of the car was X, after owning the car for 3 years the value is $15,000 and the value after 5 years was $9,000 we have;

At  year 3, value of car = $15,000

At year 5, value of car = $9,000

Rate of change of car value with time = Constant of proportionality

Rate of change of car value with time = (15000 - 9000)/(3 - 5) = -3000

The constant of proportionality = -3000

Therefore;

y - 15000 = -3000 × (x - 3)

y = -3000x + 9000 + 15000 = -3000·x + 24000  

The value of the car, y with time,x is, y = -3000·x + 24000

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Romashka-Z-Leto [24]
<h3>Answer:    y = (3/2)x + 0</h3>

This is the same as  y = (3/2)x

=============================================================

Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

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The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

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3 years ago
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kvv77 [185]
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