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

Question

𝑦
=
0.37
𝑥
+
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 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.

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

Answer 1

To make predictions using the given linear model \( y = 0.37x + 5 \), we can substitute the values of \( x \) (the number of miles driven) into the equation to find the corresponding \( y \) (the toll paid).

Let's analyze each response option by calculating the tolls for the specified miles:

1. You can spend less than $30 to go 75 miles. \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \] This is not correct.

2. You can spend $42 to drive 100 miles. \[ y = 0.37(100) + 5 = 37 + 5 = 42 \] This is correct.

3. You can drive for 50 miles and spend less than $20. \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \] This is not correct.

4. If you drove 10 miles, you would pay $42. \[ y = 0.37(10) + 5 = 3.7 + 5 = 8.7 \] This is not correct.

Based on the calculations, the correct prediction is: You can spend $42 to drive 100 miles.