Question

Dylan makes paper flowers for a school event. He is assigned to make exactly 2, 000 paper flowers in 2 weeks. Dylan estimates it takes 1 hour to make 4 flowers. He uses this estimate to make a plan. • He and 11 friends form a team to make flowers. • The team works 5 days each week to make flowers. • Each person makes flowers for 3 hours a day on each of those days. Dylan and his team will not complete his assignment in time. What is one change you can make to one value in Dylan's plan to ensure he will be able to complete his assignment in time? Justify your response.

Answer 1

To ensure that Dylan and his team will be able to complete the assignment in time, one change that can be made is to increase the number of people in the team.

Step-by-step explanation:

To ensure that Dylan and his team will be able to complete the assignment in time, one change that can be made is to increase the number of people in the team. By adding more people, the total number of paper flowers made per week will increase, allowing them to meet the deadline. Here are the steps to calculate the number of additional people needed:

1. Calculate the total number of paper flowers that need to be made in 2 weeks: 2,000 flowers/week x 2 weeks = 4,000 flowers
2. Calculate the number of flowers made by Dylan's team in a week: 12 people x 5 days/week x 3 hours/day x 4 flowers/hour = 2,160 flowers
3. Find the difference between the target number of flowers and the number of flowers made by the team: 4,000 flowers - 2,160 flowers = 1,840 flowers
4. Divide the remaining number of flowers by the number of flowers made per hour by one person: 1,840 flowers / (4 flowers/hour) = 460 hours
5. Calculate the number of additional people needed by dividing the remaining hours by the number of hours worked by one person per week: 460 hours / (5 days/week x 3 hours/day) ≈ 31 additional people

Therefore, Dylan and his team need to add approximately 31 more people to ensure they can complete the assignment in time.