Question
Kylie wants to ride her bicycle 27.5 miles this week. She has already ridden 9 miles. If she rides for 5 more days, which equation or tape diagram could be used to represent the context if mm represents the average number of miles she would have to ride to meet her goal?
Answers
GPT-4o mini
To find out how many more miles Kylie needs to ride to meet her goal of 27.5 miles, we start by calculating how many miles she has left to ride after riding 9 miles.
1. **Calculate remaining miles:**
\[
27.5 \text{ miles (goal)} - 9 \text{ miles (already ridden)} = 18.5 \text{ miles (remaining)}
\]
2. **Determine the average miles per day she needs to ride over the next 5 days:**
Let \( mm \) represent the average number of miles she needs to ride each day for the next 5 days. The equation to find \( mm \) can be represented as:
\[
mm \times 5 = 18.5
\]
This equation indicates that if she rides an average of \( mm \) miles each day for 5 days, she will cover the remaining 18.5 miles she needs to reach her goal.
3. **Solving for \( mm \):**
To determine \( mm \):
\[
mm = \frac{18.5}{5}
\]
### Conclusion
The equation \( mm \times 5 = 18.5 \) accurately represents the context of Kylie’s biking journey to meet her goal this week. A tape diagram could be used to visually show the total distance (27.5 miles), the distance already covered, and the remaining miles divided into 5 equal sections, each representing \( mm \).
1. **Calculate remaining miles:**
\[
27.5 \text{ miles (goal)} - 9 \text{ miles (already ridden)} = 18.5 \text{ miles (remaining)}
\]
2. **Determine the average miles per day she needs to ride over the next 5 days:**
Let \( mm \) represent the average number of miles she needs to ride each day for the next 5 days. The equation to find \( mm \) can be represented as:
\[
mm \times 5 = 18.5
\]
This equation indicates that if she rides an average of \( mm \) miles each day for 5 days, she will cover the remaining 18.5 miles she needs to reach her goal.
3. **Solving for \( mm \):**
To determine \( mm \):
\[
mm = \frac{18.5}{5}
\]
### Conclusion
The equation \( mm \times 5 = 18.5 \) accurately represents the context of Kylie’s biking journey to meet her goal this week. A tape diagram could be used to visually show the total distance (27.5 miles), the distance already covered, and the remaining miles divided into 5 equal sections, each representing \( mm \).