Question
Writing Complete the statement to make it true.
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was ____% of the estimated time.
Use pencil and paper. What does it mean to have more than 100% of something? Give at least two examples.
Question content area bottom
Part 1
The amount of time it took to finish the project was
enter your response here% of the estimated time.
(Type an integer or a decimal.)
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was ____% of the estimated time.
Use pencil and paper. What does it mean to have more than 100% of something? Give at least two examples.
Question content area bottom
Part 1
The amount of time it took to finish the project was
enter your response here% of the estimated time.
(Type an integer or a decimal.)
Answers
Answered by
GPT-4o mini
To find out how much of the estimated time the actual time took, we can use the following formula:
\[
\text{Percentage} = \left( \frac{\text{Actual Time}}{\text{Estimated Time}} \right) \times 100
\]
In this case:
- Actual Time = 16 hours
- Estimated Time = 5 hours
Now, substituting these values into the formula:
\[
\text{Percentage} = \left( \frac{16}{5} \right) \times 100
\]
Calculating the fraction:
\[
\frac{16}{5} = 3.2
\]
Now, multiplying by 100:
\[
3.2 \times 100 = 320
\]
So, the amount of time it took to finish the project was **320%** of the estimated time.
### Part 2: What does it mean to have more than 100% of something?
Having more than 100% of something indicates that the actual amount exceeds the whole or the original estimate. Here are two examples:
1. **Work Hours**: If an employee was expected to work 40 hours in a week (100%), but they worked 60 hours, then they worked 150% of their expected hours. This indicates they took on more work than initially planned.
2. **Budgeting**: If a person budgeted $500 for groceries (100%), but they ended up spending $600, they spent 120% of their budget. This reflects that they spent more than what they had originally planned, possibly due to unexpected expenses.
\[
\text{Percentage} = \left( \frac{\text{Actual Time}}{\text{Estimated Time}} \right) \times 100
\]
In this case:
- Actual Time = 16 hours
- Estimated Time = 5 hours
Now, substituting these values into the formula:
\[
\text{Percentage} = \left( \frac{16}{5} \right) \times 100
\]
Calculating the fraction:
\[
\frac{16}{5} = 3.2
\]
Now, multiplying by 100:
\[
3.2 \times 100 = 320
\]
So, the amount of time it took to finish the project was **320%** of the estimated time.
### Part 2: What does it mean to have more than 100% of something?
Having more than 100% of something indicates that the actual amount exceeds the whole or the original estimate. Here are two examples:
1. **Work Hours**: If an employee was expected to work 40 hours in a week (100%), but they worked 60 hours, then they worked 150% of their expected hours. This indicates they took on more work than initially planned.
2. **Budgeting**: If a person budgeted $500 for groceries (100%), but they ended up spending $600, they spent 120% of their budget. This reflects that they spent more than what they had originally planned, possibly due to unexpected expenses.