Gina wants to ride the waves at Flagship Pier in Galveston, so she rents a surfboard for $5 per hour plus an initial, or beginning, payment of $20. For how many hours can Gina rent a surfboard if she has $90?

Gina's total cost for renting the surfboard is based on two components:
- A fixed initial payment of $20
- An additional $5 per hour for every hour she rents the surfboard.

Given that Gina has a total of $90 to spend, we can set up an equation to find the number of hours, $ h $, she can rent the surfboard.

### Step-by-step solution:

1. The total cost $ C $ is the sum of the initial payment and the cost per hour:
   \[
   C = 20 + 5h
   \]
   
2. We know that the total amount Gina can spend is $90:
   \[
   90 = 20 + 5h
   \]

3. Subtract the initial payment from both sides:
   \[
   90 - 20 = 5h
   \]
   \[
   70 = 5h
   \]

4. Divide both sides by 5 to solve for $ h $:
   \[
   h = \frac{70}{5} = 14
   \]

### Final answer:
Gina can rent the surfboard for **14 hours**.

Would you like further details or have any other questions?

### 5 Related Questions:
1. What if Gina only had $60 to spend? How many hours could she rent the surfboard then?
2. What is the maximum amount she would pay if she rents the surfboard for 10 hours?
3. How much would Gina need to spend if she wants to rent the surfboard for 18 hours?
4. What would the total cost be if the initial payment increased to $25 but the hourly rate stayed the same?
5. How much money would she save if the rental company offered a $10 discount on the initial payment?

### Tip:
When dealing with real-world problems involving money and time, it's often useful to identify fixed costs (like the initial payment) and variable costs (like the hourly rate).

Learn how to solve a linear equation to determine how many hours Gina can rent a surfboard with a total of $90, considering a $20 initial payment and $5 per hour rate. Ideal for students in Grades 6-8 looking to practice algebra and linear equations.

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