TIY It! Chen's friend Alisa can ride her bike 2 miles in 7 minutes. Use a bar diagram or a double number line diagram to find how long it would take Alisa to ride 10 miles if she rides at the same rate.

To determine how long it will take Alisa to ride **10 miles** at the same rate she rides **2 miles in 7 minutes**, we can use a **double number line** approach for clear visualization. ### Step 1: Understand the Given Rate Alisa's current rate is: - **2 miles** in **7 minutes** We can represent this on a double number line as follows: ``` Miles: 0 ---2 ---4 ---6 ---8 ---10 Time: 0 ---7 ---14--21--28--35 ``` ### Step 2: Determine the Relationship From the double number line: - Every **2 miles** correspond to **7 minutes**. - This means for every **1 mile**, it takes **3.5 minutes** (since 7 minutes ÷ 2 miles = 3.5 minutes per mile). ### Step 3: Calculate the Time for 10 Miles Using the rate: - **1 mile** = **3.5 minutes** - Therefore, **10 miles** = **10 × 3.5 minutes** = **35 minutes** ### Double Number Line Illustration Here's how the double number line helps visualize the relationship: ``` Miles: 0 ---2 ---4 ---6 ---8 ---10 Time: 0 ---7 ---14--21--28--35 ``` - Start at **0 miles** and **0 minutes**. - Each increment of **2 miles** adds **7 minutes**. - Continuing this pattern: - **2 miles** → **7 minutes** - **4 miles** → **14 minutes** - **6 miles** → **21 minutes** - **8 miles** → **28 minutes** - **10 miles** → **35 minutes** ### Conclusion At the same riding rate, **Alisa will take 35 minutes** to ride **10 miles**.