Final answer:
Nate can park for 5 hours with $5 at a parking meter that charges $2 for the first hour and $0.75 for each additional hour. After paying $2 for the first hour, he has $3 left, which allows for 4 more hours at $0.75 per hour.
Step-by-step explanation:
Nate wants to know for how many hours he can park with $5, given that the parking meter charges $2 for the first hour and $0.75 for each subsequent hour.
To solve this, we need to first consider the initial fee of $2 for the first hour.
Then, subtract this amount from Nate's total money to find out how much is left for the remaining hours:
Remaining Money = $5 - $2 = $3
Next, divide the remaining money by the per hour charge for subsequent hours to calculate the number of additional hours Nate can afford:
Additional Hours = $3 / $0.75 per hour = 4 hours
Adding the first hour and the additional hours gives us the total hours Nate can park:
Total Hours = 1 hour + 4 hours = 5 hours
Therefore, Nate can afford to park for 5 hours with his $5.