elena bikes 20 minutes each day for exercise. write an equation to describe the relationship between her distance in miles, d, and her biking speed, in miles per hour, when she bikes:

We can use the formula for distance, which is:

\[
d = r \times t
\]

where:
- \(d\) is the distance in miles,
- \(r\) is the speed in miles per hour,
- \(t\) is the time in hours.

Since Elena bikes for 20 minutes each day, we need to convert 20 minutes to hours:
\[
20 \text{ minutes} = \frac{20}{60} = \frac{1}{3} \text{ hours}.
\]

Now, using the formula, the equation for the relationship between her distance \(d\) and her speed \(r\) would be:
\[
d = r \times \frac{1}{3}.
\]

Would you like more details or have any questions about this equation?

Here are 5 related questions:
1. What would her distance be if she bikes at a speed of 10 miles per hour?
2. How long would Elena need to bike to cover 10 miles at 5 miles per hour?
3. If Elena increased her biking time to 30 minutes, what would the new equation be?
4. How does her distance change if her speed doubles?
5. What is her speed if she bikes 6 miles in 30 minutes?

**Tip:** Always remember to convert time into consistent units when using speed and distance formulas.

Learn how to write an equation describing the relationship between Elena's biking distance in miles and her speed in miles per hour. This exercise problem involves the distance-speed-time formula and unit conversion. Suitable for middle school students, Grades 6-8.

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