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

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

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

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

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

You can spend $42 to drive 100 miles.

1 answer

To make a prediction using the given line of best fit \( y = 0.37x + 5 \), we will evaluate the toll cost \( y \) based on different values of \( x \) (the number of miles driven).

  1. For 75 miles: \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \] This means you would spend $32.75 to drive 75 miles.

  2. For 50 miles: \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \] This indicates that you would spend $23.50 to drive 50 miles.

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

  4. For 100 miles: \[ y = 0.37(100) + 5 = 37 + 5 = 42 \] This shows you would spend $42 to drive 100 miles.

Based on these calculations, the correct response is:

You can spend $42 to drive 100 miles.

This response is accurate according to the line of best fit provided.