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

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.

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.

Answer 1

To make predictions using the provided linear model \( y = 0.37x + 5 \), we need to calculate the tolls for the specific distances mentioned in the responses:

1. For 75 miles: \( y = 0.37(75) + 5 \) \( y = 27.75 + 5 \) \( y = 32.75 \)

2. For 10 miles: \( y = 0.37(10) + 5 \) \( y = 3.7 + 5 \) \( y = 8.7 \)

3. For 100 miles: \( y = 0.37(100) + 5 \) \( y = 37 + 5 \) \( y = 42 \)

4. For 50 miles: \( y = 0.37(50) + 5 \) \( y = 18.5 + 5 \) \( y = 23.5 \)

Now let's evaluate the responses based on our calculations:

• You can spend less than $30 to go 75 miles. (Incorrect, it’s $32.75)
• If you drove 10 miles, you would pay $42. (Incorrect, it’s $8.7)
• You can spend $42 to drive 100 miles. (Correct, it’s exactly $42)
• You can drive for 50 miles and spend less than $20. (Incorrect, it’s $23.5)

Therefore, the correct prediction based on the line of best fit is:

You can spend $42 to drive 100 miles.