You plan to go snowboarding this weekend in Pennsylvania. The resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. Write and solve linear equation to find the total cost to rent the snowboard from 8:30am to 12:30pm

To find the total cost to rent a snowboard from 8:30 a.m. to 12:30 p.m., let's first determine the number of hours and then set up a linear equation.

### Step 1: Calculate the Hours Rented
From 8:30 a.m. to 12:30 p.m. is 4 hours.

### Step 2: Set Up the Equation
Let $ t $ be the total cost of renting the snowboard. The rental has:
- A **base deposit** of $25.
- An **hourly charge** of $15.75 for each hour.

The total cost can be written as:
\[
t = 25 + 15.75 \times 4
\]

### Step 3: Solve the Equation
Calculate the hourly part first:
\[
15.75 \times 4 = 63
\]
Now, add the deposit:
\[
t = 25 + 63 = 88
\]

### Final Answer
The total cost to rent the snowboard from 8:30 a.m. to 12:30 p.m. will be **$88**.

Would you like further details on the setup or solution process?

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Here are some related questions to explore:

1. What would the cost be if you rented for 5 hours instead?
2. How would the cost change if the hourly rate increased to $20?
3. If you received a 10% discount on the hourly rate, what would the new total be?
4. How would the equation look if there were no deposit fee?
5. How much would you pay for an entire 8-hour day?

**Tip:** For problems with multiple rates or fees, break down the total into each component to avoid calculation errors.

You plan to go snowboarding this weekend in Pennsylvania. The resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. Write and solve a linear equation to find the total cost to rent the snowboard from 8:30am to 12:30pm.

Learn how to calculate the total cost of renting a snowboard from 8:30 a.m. to 12:30 p.m. with a linear equation. This problem involves understanding linear relationships and basic algebra, making it ideal for students in Grades 7-9.

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