write an expression to solve for total cost given the cost before taxes, taxes, and total cost variables

To find the total cost given the cost before taxes and the tax rate, you can set up the following expression:

Let:
- \( C \) = cost before taxes
- \( T \) = tax rate (as a decimal, e.g., 0.07 for 7%)
- \( \text{Total Cost} \) = \( C_{\text{total}} \)

The total cost is then given by:
\[
C_{\text{total}} = C + (C \times T)
\]

Alternatively, you can factor out \( C \):
\[
C_{\text{total}} = C \times (1 + T)
\]

### Explanation:
1. **\( C \times T \)** calculates the amount of tax based on the original cost.
2. **Adding \( C \) to the tax** gives the total cost after taxes.

Let me know if you'd like a breakdown or have questions. Here are related questions to explore:

1. How would this expression change if you had a discount before taxes?
2. What if you also had a service fee added after taxes?
3. How would you solve for \( C \) if you only knew \( C_{\text{total}} \) and \( T \)?
4. How does this formula adapt to compound taxes?
5. Can this expression handle multiple tax rates?

**Tip:** Remember, always convert percentages to decimals when multiplying in expressions!

Write an expression to solve for total cost given the cost before taxes, taxes, and total cost variables.

Learn how to calculate the total cost from the cost before taxes and tax rate. This problem involves basic algebra and percentage calculations. Step-by-step solution included. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation