Question 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 $42 to drive 100 miles. You can spend $42 to drive 100 miles. You can drive for 50 miles and spend less than $20. You can drive for 50 miles and spend less than $20. You can spend less than $30 to go 75 miles. You can spend less than $30 to go 75 miles. If you drove 10 miles, you would pay $42. If you drove 10 miles, you would pay $42.

Answer 1

To make predictions using the line of best fit \( y = 0.37x + 5 \), where \( y \) represents the toll costs and \( x \) represents the miles driven, we can plug in different values for \( x \) to see how much one would pay for various distances.

1. For \( x = 10 \) miles: \[ y = 0.37(10) + 5 = 3.7 + 5 = 8.7 \] So, if you drove 10 miles, the cost would be $8.7 (not $42).

2. For \( x = 50 \) miles: \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \] So, if you drove 50 miles, you would spend $23.5, which is less than $20 (incorrect).

3. For \( x = 75 \) miles: \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \] So, if you drove 75 miles, you would spend $32.75, which is less than $30 (incorrect).

4. For \( x = 100 \) miles: \[ y = 0.37(100) + 5 = 37 + 5 = 42 \] So, if you drove 100 miles, you would spend $42.

Based on the calculations, the correct prediction based on the equation provided is:

You can spend $42 to drive 100 miles.