Performance Task: Trendy Teens

Question

A shoe brand popular among American teenagers gives away one pair of shoes to a child in need for each pair of shoes it sells. Not only are American students wearing stylish and comfortable shoes, they are helping children in need all over the world.
As you complete each task, keep these questions in mind: Why is it important to know how to calculate with percents? What are some applications of percents that we use in our daily lives?
Directions:
Complete each task, reading the directions carefully as you do. For these tasks, round all decimals to the nearest hundredths place or to the nearest cent.
You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations.

Answer 1

Performance Task: Trendy Teens

Task 1: Understanding Percentages in Sales

Question 1: If the shoe brand sells 1,200 pairs of shoes in one month, how many pairs of shoes do they provide to children in need?

Solution:
To find how many pairs of shoes are given away for free, we note that for each pair sold, one pair is donated. Therefore:

• Pairs of shoes sold: 1,200
• Pairs donated: 1,200

Answer: 1,200 pairs of shoes are provided to children in need.

Task 2: Calculating Sales Revenue

Question 2: If each pair of shoes is sold for $60, what is the total revenue generated from the sales of 1,200 pairs of shoes?

Solution:
To calculate total revenue, multiply the number of pairs sold by the price per pair:

• Price per pair: $60
• Total pairs sold: 1,200

Total Revenue = Price per Pair × Total Pairs Sold
Total Revenue = $60 × 1,200 = $72,000

Answer: The total revenue generated is $72,000.

Task 3: Calculating Donations Percent

Question 3: If the brand continues to sell 1,200 pairs of shoes each month, what percentage of these sales goes to donations?

Solution:
Since for every pair sold, one pair is donated, 100% of sales results in a donation. Therefore:

• Total pairs donated: 1,200
• Total pairs sold: 1,200

Percent donated = (Pairs Donated / Total Pairs Sold) × 100
Percent donated = (1,200 / 1,200) × 100 = 100%

Answer: 100% of the pairs sold are donated.

Task 4: Applying Percentages to Discount Sales

Question 4: During a special promotion, the shoes are sold at a 25% discount. What is the sale price of the shoes?

Solution:
First, we calculate the discount amount:

• Original price: $60
• Discount: 25%

Discount Amount = Original Price × Discount Percentage
Discount Amount = $60 × 0.25 = $15

Next, subtract the discount from the original price to find the sale price:
Sale Price = Original Price - Discount Amount
Sale Price = $60 - $15 = $45

Answer: The sale price of the shoes after a 25% discount is $45.

Task 5: Real-Life Applications of Percentages

Question 5: Why is it important to know how to calculate with percents, and what are some applications of percents that we use in our daily lives?

Answer:
Knowing how to calculate with percents is essential for various reasons:

1. Budgeting: Understanding percentages helps in budgeting personal finances, such as calculating savings or expenses.
2. Shopping: Discounts and sales frequently involve percentages. Knowing how to calculate these allows consumers to make informed purchasing decisions.
3. Interest Rates: Percentages are often used in finance for interest rates on loans, credit cards, and savings accounts, affecting how much money one can save or owes.
4. Statistics: Percentages are used to represent data in a digestible format, such as survey results or grades.
5. Performance Measurements: Percentages are often used to measure performance, such as in sports (percent of games won) or academic evaluations (percentage grades).

Overall, calculating and understanding percentages is crucial for making informed decisions in everyday life.

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Submission

Please review the answers and calculations for completeness and accuracy before submission. This concludes the performance task on percentages related to the shoe brand and their social initiatives.