The initial cost to rent a bike in hilton head is $4. Each hour the bike is rented costs $1.75. Vince is going to rent a bike and can spend at most $18. Write and solve an inequality to find how long he can rent the bike without going over his budget.

Answer: he can rent the bike for at most 8 hours.

Step-by-step explanation:

Let x represent the number of hours that Vince can rent the bike without going over his budget.

The initial cost to rent a bike in hilton head is $4. Each hour the bike is rented costs $1.75. This means that the cost of renting the bike for x hours would be

1.75x + 4

Vince is going to rent a bike and can spend at most $18. The inequality is expressed as

1.75x + 4 ≤ 18

1.75x ≤ 18 - 4

1.75x ≤ 14

x ≤ 14/1.75

x ≤ 8

8 hours

Step-by-step explanation:

4 + 1.75x ≤ 18, where x = the number of hours

1.75x ≤ 18 - 4

1.75x ≤ 14

x ≤ 14/1.75

x ≤ 8 hours