nadeem plans to ride her bike between 12 mi and 15 mi solve an equation to find how many hours nadeem will be riding

To find out how many hours Nadeem will be riding, we'll need to use the formula:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

However, since you didn't specify Nadeem's riding speed, I'll represent it as \( v \) (in miles per hour). Given that the distance Nadeem plans to ride is between 12 miles and 15 miles, we can set up an inequality to solve for the time \( t \) (in hours):

\[
12 \leq v \times t \leq 15
\]

Now, solve the inequality for \( t \):

1. Divide the entire inequality by \( v \) (assuming \( v > 0 \)):

\[
\frac{12}{v} \leq t \leq \frac{15}{v}
\]

This inequality represents the range of time \( t \) in which Nadeem will be riding her bike, depending on her speed \( v \).

Would you like to plug in a specific speed to calculate the exact time range? Or do you have any questions? 

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Here are some related questions:
1. How would the time range change if Nadeem's speed were slower or faster?
2. What happens to the time if the distance range is increased to 20 miles?
3. If Nadeem rides at 10 miles per hour, how long will the ride take?
4. How does this calculation change if she takes breaks during her ride?
5. What are some practical reasons to know the time range before a bike ride?

**Tip:** Knowing the average speed is key when calculating time for travel over a certain distance.

Learn how to calculate the time required for Nadeem to ride her bike between 12 and 15 miles with a detailed step-by-step solution. This problem involves using the distance-speed-time formula and solving inequalities. Suitable for students in Grades 7-9.

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