To determine the approximate cost of riding the train between two stations that are 10 miles apart, we need to use the given line of best fit equation:
[tex]\[ y = 0.354x + 4.669 \][/tex]
In this equation:
- [tex]\( y \)[/tex] represents the ticket cost in dollars,
- [tex]\( x \)[/tex] represents the distance traveled in miles.
Given that the distance [tex]\( x \)[/tex] is 10 miles, we will substitute [tex]\( x = 10 \)[/tex] into the equation to find the value of [tex]\( y \)[/tex], which represents the ticket cost:
[tex]\[ y = 0.354 \times 10 + 4.669 \][/tex]
Performing the multiplication and addition:
[tex]\[ y = 3.54 + 4.669 \][/tex]
[tex]\[ y = 8.209 \][/tex]
Thus, the approximate cost to ride the train for a distance of 10 miles is:
[tex]\[ \boxed{8.21} \][/tex]
Therefore, the correct answer is:
A. [tex]$\$[/tex] 8.21$
