A car’s value varies inversely with its age. Jackie bought a 10-year-old car for $2,400. Write the equation that relates the car’s value, v, to its age, a. What will be the value of Jackie’s car when it is 15 years old ?

Respuesta :

Answer:

$1,600

Step-by-step explanation:

Inverse relation:

v = k/a

where v = value of car, and a = age in years.

To find k, we use a known value

2400 = k/10

k = 24000

The inverse relation is

v = 24,000/a

At 15 years, a = 15.

v = 24,000/15 = 1,600

The value of Jackie’s car when it is 15 years old will be $1,600.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

Let y be the car’s value and x is the age then, if there is an inverse relation between them;

y = k/x

Substitute the given values;

k=xy

k=2400 × 10

k = 24000

Substitute the value of k;

y = 24000/x

Condition 2;

at x = 15 and y = ?

y = 24,000/15

y= 1,600

Hence, the value of Jackie’s car when it is 15 years old will be 1600.

To learn more, about equations, refer;

https://brainly.com/question/10413253

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