Question

You are told that the value of a car of the given model, based on its age, is less than $6000. Give a range of values that could represent the car.

Answer 1

The following equation represents the value (y) of a car based on its age (x).

`y=-800x+12000`

We are told that the value of a car of the given model, based on its age, is less than $6000.

So, we can write

`6000<-800x+12000`

Let us solve the above inequality for x.

`\begin{gathered} 6000<-800x+12000 \\ 6000-12000<-800x \\ -6000<-800x \\ (-6000)/(-800)<(-800x)/(-800) \\ 7.5>x \\ x<7.5 \end{gathered}`

This means that the age of the car is less than 7.5 years.

Therefore, the possible range of values that could represent the age of the car is 0 to 7.5 years.

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