Answer
The inequality describing the situation is
1.50 + 0.65x ≤ 15
Solving this,
x ≤ 20.77 miles
This means that with the amount she's willing to spend, she can travel no more than 20.77 miles with $15
Step-by-step explanation
Flat fee for the ride is $1.50
Then each mile covered results in an extra expense of $0.65 per mile.
Cindy can spend no more than $15 on a ride.
If the maximum number of miles Cindy can go is x
Total amount for the ride for x miles
= (1.50 + 0.65x) dollars
This total amount cannot exceed $15
1.50 + 0.65x ≤ 15
We can then solve this inequality
1.50 + 0.65x ≤ 15
0.65x ≤ 15 - 1.50
0.65x ≤ 13.5
Divide both sides by 0.65
(0.65x/0.65) ≤ (13.5/0.65)
x ≤ 20.77 miles
Hope this Helps!!!