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 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.

You can spend $42 to drive 100 miles.

Answer 1

To make a prediction using the line of best fit \( y = 0.37x + 5 \), where \( y \) represents the tolls and \( x \) represents the number of miles driven, we can plug in the values of \( x \) to find the corresponding values of \( y \).

1. If you drove 10 miles: \[ y = 0.37(10) + 5 = 3.7 + 5 = 8.7 \] So, you would pay $8.70.

2. If you drove 50 miles: \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \] So, you would pay $23.50.

3. If you drove 75 miles: \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \] So, you would pay $32.75.

4. If you drove 100 miles: \[ y = 0.37(100) + 5 = 37 + 5 = 42 \] So, you would pay $42.

Now, based on this analysis:

• If you drove 10 miles, you would not pay $42.
• If you drove 50 miles, you would not spend less than $20 (you would spend $23.50).
• If you drove 75 miles, you would not spend less than $30 (you would spend $32.75).
• If you drove 100 miles, you would pay $42.

Thus, the correct prediction from the options provided is: You can spend $42 to drive 100 miles.