First, we need to find the rate at which the car's value is decreasing. We know that the value of the car decreases from $15,000 to $11,000 in 2 years (from year 3 to year 5). So, the rate of decrease per year is:

($15,000 - $11,000) / 2 = $2,000 per year

This means the value of the car decreases by $2,000 each year.

Next, we need to find the initial value of the car. We know that after 3 years, the car's value is $15,000. So, the initial value of the car is:

$15,000 + 3 * $2,000 = $21,000

Now, we can write the linear equation that represents the value of the car over time. Let's denote the value of the car as V and the number of years as t. The equation is:

V = $21,000 - $2,000 * t

Finally, we can use this equation to find the value of the car after 8 years:

V = $21,000 - $2,000 * 8 = $5,000

So, the value of the car after 8 years is $5,000.

Question

First, we need to find the rate at which the car's value is decreasing. We know that the value of the car decreases from $15,000 to $11,000 in 2 years (from year 3 to year 5). So, the rate of decrease per year is:

($15,000 - $11,000) / 2 = $2,000 per year

This means the value of the car decreases by $2,000 each year.

Next, we need to find the initial value of the car. We know that after 3 years, the car's value is $15,000. So, the initial value of the car is:

$15,000 + 3 * $2,000 = $21,000

Now, we can write the linear equation that represents the value of the car over time. Let's denote the value of the car as V and the number of years as t. The equation is:

V = $21,000 - $2,000 * t

Finally, we can use this equation to find the value of the car after 8 years:

V = $21,000 - $2,000 * 8 = $5,000

So, the value of the car after 8 years is $5,000.

Knowee AI · Accepted Answer

First, we need to find the rate at which the car's value is decreasing. We know that the value of the car decreases from $15,000 to $11,000 in 2 years (from year 3 to year 5). So, the rate of decrease per year is:

($15,000 - $11,000) / 2 = $2,000 per year

This means the value of the car decreases by $2,000 each year.

Next, we need to find the initial value of the car. We know that after 3 years, the car's value is $15,000. So, the initial value of the car is:

$15,000 + 3 * $2,000 = $21,000

Now, we can write the linear equation that represents the value of the car over time. Let's denote the value of the car as V and the number of years as t. The equation is:

V = $21,000 - $2,000 * t

Finally, we can use this equation to find the value of the car after 8 years:

V = $21,000 - $2,000 * 8 = $5,000

So, the value of the car after 8 years is $5,000.

Alex bought a new car for his daughter. He knows the value of the car will decrease at a constant rate. After 3 years, the value of the car is $15,000. After 5 years, the value of the car of $11,000. Write and solve a linear equation to find the value of the car after 8 years.

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