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The value of a car is inversely proportional to its age. If a car is worth $6400 when it is 3 years old, how old will it be when it is worth $2400 ? The car will be years old.

User Barun
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1 Answer

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So, the car will be 8 years old when it is worth $2400.

If the value of a car is inversely proportional to its age, we can express this relationship using the formula:


\[V = (k)/(A),\]

where:


\(V\) is the value of the car,


\(A\) is the age of the car, and


\(k\) is the constant of proportionality.

Given that the car is worth $6400 when it is 3 years old, we can use this information to find the value of
\(k\):


\[6400 = (k)/(3).\]

To find
\(k\), multiply both sides by 3:


\[k = 6400 * 3 = 19200.\]

Now that we have the constant of proportionality
(\(k\)), we can use it to determine the age of the car when it is worth $2400. Let
\(V = 2400\):


\[2400 = (19200)/(A).\]

To find
\(A\), divide both sides by 2400:


\[A = (19200)/(2400) = 8.\]

User Vahab Ghadiri
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