Question

Using technology we found the equation of the line to be y=-2x + 25. Using the given equation

predict the value of a car that is 3 and a half years old.

Answer 1

Using the equation y = -2x + 25, the predicted value of a car that is 3 and a half years old would be 18 units of currency, by plugging in 3.5 into the equation for x.

Step-by-step explanation:

To predict the value of a car that is 3 and a half years old using the equation y = -2x + 25, where y represents the value of the car and x represents the age of the car in years, simply substitute 3.5 for x into the equation.

The calculation will look like this:

• y = -2(3.5) + 25
• y = -7 + 25
• y = 18

Therefore, using the provided equation of the line, a car that is 3 and a half years old is predicted to have a value of 18 units of currency. This prediction assumes the linear relationship between the age and value of the car represented by the line remains consistent over time.

Answer 2

A car that is 3 and a half years old would cost $18,000

Step-by-step explanation:

Using the given equation,
`y=-2x+25`, we replace 'x' with '3.5' and solve for 'y'.

`y=-2(3.5)+25`

`y=-7+25`

`y=18`

Dollar values on the graph are expressed in thousands. Thus, we multiply 18 by 1,000 to get $18,000