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

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.

Answer 1

To make a prediction using the line of best fit \( y = 0.37x + 5 \), you need to substitute the value of \( x \) (the number of miles) into the equation.

Let's calculate the cost (\( y \)) for each scenario:

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

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

3. If you drove 75 miles:
   \[ y = 0.37(75) + 5 = 27.75 + 5 = 32.75 \]
   So, if you drove 75 miles, you would pay $32.75, which is more than $30.

4. If you drove 50 miles:
   \[ y = 0.37(50) + 5 = 18.5 + 5 = 23.5 \]
   So, if you drove 50 miles, you would pay $23.50, which is more than $20.

Based on the calculations above, the only accurate prediction from the options provided is:

• You can spend $42 to drive 100 miles.