Calculate the gross pay for the following employee, an apple picker, assuming she picked 7,200 apples:

Number of ApplesRate per Apple

1 – 2,000

0.07

2,001 – 3,000

0.08

Over 3,000

0.12


To calculate the gross pay for an apple picker based on the number of apples picked, follow these steps:

1. **Determine the number of apples picked in each rate bracket:**
   - 1 to 2,000 apples: 2,000 apples at $0.07 each
   - 2,001 to 3,000 apples: 1,000 apples at $0.08 each
   - Over 3,000 apples: 7,200 - 3,000 = 4,200 apples at $0.12 each

2. **Calculate the pay for each bracket:**
   - Pay for 1 to 2,000 apples:
     \[
     \text{Pay} = 2,000 \times 0.07 = \$140.00
     \]
   - Pay for 2,001 to 3,000 apples:
     \[
     \text{Pay} = 1,000 \times 0.08 = \$80.00
     \]
   - Pay for over 3,000 apples:
     \[
     \text{Pay} = 4,200 \times 0.12 = \$504.00
     \]

3. **Calculate total pay:**
   \[
   \text{Total pay} = \$140.00 + \$80.00 + \$504.00 = \$724.00
   \]

Thus, the gross pay for the apple picker is $724.00.

Would you like details on any specific part of this calculation or have any questions?

### Related Questions:

1. How would the pay change if the rate per apple increased?
2. How do you calculate gross pay if the pay rate is different for different types of work?
3. What factors can affect the rate per apple in different regions?
4. How would the calculation change if there were a bonus for picking over a certain number of apples?
5. Can you explain how to account for taxes and deductions on this gross pay?
6. How is gross pay calculated for other types of piecework?
7. What are the implications of increasing the rate per apple for the business?
8. How does gross pay impact net income for seasonal workers?

### Tip:
Always ensure you accurately track the number of units produced or picked when working in piece-rate jobs to ensure fair and correct compensation.

Learn how to calculate gross pay for an apple picker based on the number of apples picked. Follow a step-by-step solution including piecewise function application for different apple rate brackets. Suitable for 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