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 predictions using the given line of best fit, \( y = 0.37x + 5 \), we can substitute different values of \( x \) (the number of miles driven) into the equation to find the corresponding tolls \( y \).

Let's evaluate each of the options based on the equation:

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

   • Substitute \( x = 10 \): \[ y = 0.37(10) + 5 = 3.7 + 5 = 8.7 \]
   • This is not correct.

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

   • Substitute \( x = 50 \): \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \]
   • This is not correct because $23.5 is greater than $20.

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

   • Substitute \( x = 75 \): \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \]
   • This is not correct because $32.75 is greater than $30.

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

   • Substitute \( x = 100 \): \[ y = 0.37(100) + 5 = 37 + 5 = 42 \]
   • This is correct.

Therefore, the only accurate prediction based on the line of best fit is "You can spend $42 to drive 100 miles."