https://file.aiquickdraw.com/mathbot/file/17270627199267cfabyj6.jpg

To solve this problem, we need to calculate the percent error using the following formula:

\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]

Given:
- The estimated distance is **80 miles**.
- The actual distance biked is **75.5 miles**.

Now, let's plug these values into the formula:

\[
\text{Percent Error} = \left( \frac{|80 - 75.5|}{75.5} \right) \times 100
\]

Let me calculate that.The percent error in the cyclist's estimate is **5.96%**, rounded to the nearest hundredth.

Would you like further clarification on this or any additional questions? 

Here are some related questions to explore:
1. How do you determine the difference between estimated and actual values?
2. What other scenarios can you apply percent error calculations to?
3. What is the significance of rounding percent error to the nearest hundredth?
4. How does percent error differ from percent change?
5. Can you calculate percent error for values that are not measurements (like time estimates)?

**Tip**: Always ensure to use the absolute difference in the percent error formula to avoid negative results.

A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist's estimate rounded to the nearest hundredth of a percent?

Learn how to calculate the percent error when a cyclist estimates biking 80 miles but actually bikes 75.5 miles. This problem focuses on the percent error formula, suitable for students in Grades 6-8, and includes detailed steps to find the solution.

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