Question

Use the linear model to make a prediction. The line of best fit y=4.75x+5
represents the ticket price for a train based on distance traveled in miles. What prediction can be made based on this line of best fit?(1 point)
Responses

You can pay less than $50 to travel 10 miles.
You can pay less than $50 to travel 10 miles.

It would cost $43 to travel 8 miles.
It would cost $43 to travel 8 miles.

For $29, you can go 5 miles.
For $29, you can go 5 miles.

You can pay just over $20, to go 3 miles.

Answer 1

To make predictions based on the line of best fit \( y = 4.75x + 5 \), where \( y \) is the ticket price and \( x \) is the distance traveled in miles, we can substitute the values of \( x \) from the options provided and calculate the corresponding ticket prices.

1. For 10 miles:
\[
y = 4.75(10) + 5 = 47.5 + 5 = 52.5
\]
You can pay less than $50 to travel 10 miles. **(False)**

2. For 8 miles:
\[
y = 4.75(8) + 5 = 38 + 5 = 43
\]
It would cost $43 to travel 8 miles. **(True)**

3. For 5 miles:
\[
y = 4.75(5) + 5 = 23.75 + 5 = 28.75
\]
For $29, you can go 5 miles. **(True)**

4. For 3 miles:
\[
y = 4.75(3) + 5 = 14.25 + 5 = 19.25
\]
You can pay just over $20 to go 3 miles. **(False)**

Based on the calculations, the correct prediction is:
**It would cost $43 to travel 8 miles.**