Answer:
Ashley can travel 10 miles with $10.
Step-by-step explanation:
This problem can be modeled with a linear equation:
[tex]y=mx+b\\y=0.75x+3.25[/tex]
where y is the total cost and x is the number of miles.
Given a y of 10, you can plug that in and solve for x:
[tex]10=0.75x+3.25\\0.75x=6.75\\x=9[/tex]
Ashley can travel 9 miles with $10. You can check that either by solving the equation in the other direction, or doing it logically like this:
If she can travel 9 miles at $0.75 per mile, that's $6.75.
[tex]9*0.75=6.75[/tex]
$6.75 + the flat rate of $3.25 is $10, so it works.