Question

Use the linear model to make a prediction. The line of best fit y=4.75x+5
𝑦
=
4.75
𝑥
+
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. - no response given

It would cost $43 to travel 8 miles.
It would cost $43 to travel 8 miles. - no response given

You can pay just over $20, to go 3 miles.
You can pay just over $20, to go 3 miles. - no response given

For $29, you can go 5 miles.

Answer 1

To make predictions using the line of best fit given by the equation \( y = 4.75x + 5 \), we can substitute the distance \( x \) (in miles) into the equation to find the corresponding ticket price \( y \).

Let's evaluate the provided options one by one.

1. **Traveling 10 miles:**
\[
y = 4.75(10) + 5 = 47.5 + 5 = 52.5
\]
So, it costs $52.5 to travel 10 miles, not less than $50.

2. **Traveling 8 miles:**
\[
y = 4.75(8) + 5 = 38 + 5 = 43
\]
So, it costs $43 to travel 8 miles. This statement is true.

3. **Traveling 3 miles:**
\[
y = 4.75(3) + 5 = 14.25 + 5 = 19.25
\]
So, it costs $19.25 to travel 3 miles, which is just over $20. This statement is incorrect (it's less than $20).

4. **Traveling 5 miles:**
\[
y = 4.75(5) + 5 = 23.75 + 5 = 28.75
\]
So, it costs $28.75 to travel 5 miles, which is not $29.

Based on the calculations:

- The only correct prediction from the options given is: **It would cost $43 to travel 8 miles.**