Use the linear model to make a prediction. The line of best fit y=0.37x+5

Question

represents the tolls you pay after driving a specific number of miles. What prediction can be made based on this line of best fit?(1 point)
Responses

If you drove 10 miles, you would pay $42.
If you drove 10 miles, you would pay $42.

You can spend less than $30 to go 75 miles.
You can spend less than $30 to go 75 miles.

You can spend $42 to drive 100 miles.
You can spend $42 to drive 100 miles.

You can drive for 50 miles and spend less than $20.

Answer 1

To make a prediction using the line of best fit \( y = 0.37x + 5 \), where \( y \) is the toll paid and \( x \) is the number of miles driven, we can substitute the values of \( x \) to see how much you would pay for different distances.

1. For 10 miles: \[ y = 0.37(10) + 5 = 3.7 + 5 = 8.7 \] This means if you drove 10 miles, you would pay $8.70, not $42.

2. For 75 miles: \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \] This means if you drove 75 miles, you would pay $32.75, so you cannot spend less than $30 based on the prediction.

3. For 100 miles: \[ y = 0.37(100) + 5 = 37 + 5 = 42 \] This means if you drove 100 miles, you would pay $42, confirming this option.

4. For 50 miles: \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \] This means if you drove 50 miles, you would spend $23.50, which indicates you cannot spend less than $20 based on the prediction.

The only accurate prediction based on the calculations is:

You can spend $42 to drive 100 miles.