
Pratte Boat Wash's cost formula for its cleaning equipment and supplies is $2,460 per month plus $49 per boat. For the month of April, the company planned for activity of 58 boats, but the actual level of activity was 18 boats. The actual cleaning equipment and supplies for the month was $3,470.

The cleaning equipment and supplies in the planning budget for April would be closest to:

Multiple Choice

$3,342

$5,302

$3,470

$11,181

To calculate the cleaning equipment and supplies cost in the planning budget for April, we need to use the cost formula provided:

\[
\text{Cost} = \text{Fixed cost per month} + (\text{Variable cost per boat} \times \text{Number of boats})
\]

Where:
- The **fixed cost per month** is $2,460.
- The **variable cost per boat** is $49.
- The **planned number of boats** for April is 58.

Now, let's plug in the values:

\[
\text{Cost} = 2,460 + (49 \times 58)
\]

First, calculate the variable cost:

\[
49 \times 58 = 2,842
\]

Now, add the fixed cost:

\[
2,460 + 2,842 = 5,302
\]

So, the **cleaning equipment and supplies in the planning budget for April** would be **$5,302**.

The correct answer is:

\[
\boxed{5,302}
\]

Would you like any further clarification or details on this calculation?

---

Here are 5 related questions to consider:
1. How would the planning budget change if the number of boats increased to 65?
2. What is the impact on the cost if the variable cost per boat increased to $55?
3. How would the actual budget differ if the actual boats cleaned were 25 instead of 18?
4. Can you identify the contribution of fixed and variable costs to the total cost for April?
5. How could a decrease in the fixed monthly cost affect the overall budget?

**Tip**: Understanding the distinction between fixed and variable costs can help you analyze how changes in activity levels influence total expenses.

Pratte Boat Wash's cost formula for its cleaning equipment and supplies is $2,460 per month plus $49 per boat. For the month of April, the company planned for activity of 58 boats, but the actual level of activity was 18 boats. The actual cleaning equipment and supplies for the month was $3,470.

The cleaning equipment and supplies in the planning budget for April would be closest to:

Multiple Choice

$3,342

$5,302

$3,470

$11,181

Discover how to calculate the cost of cleaning equipment and supplies for Pratte Boat Wash in April. Using the cost formula, which includes a fixed monthly cost of $2,460 and a variable cost of $49 per boat, the planning budget is calculated for 58 boats. Suitable for Grades 9-12 students learning linear equations and budgeting.

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