Writing Complete the statement to make it true.

Question

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.
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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.)

Answer 1

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.