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 find out how long it would take Alisa to ride 10 miles, we can first determine her speed. Since Alisa rides 2 miles in 7 minutes, we can calculate her speed as follows: 2 miles ÷ 7 minutes = approximately 0.286 miles per minute. Now, we can set up a proportion: if 2 miles takes 7 minutes, then 10 miles (let's call the time it takes x minutes) can be calculated using the equation: 2/7 = 10/x. Cross-multiplying gives us 2x = 70, so x = 35 minutes. Therefore, it would take Alisa 35 minutes to ride 10 miles! Now, to visualize this using a double number line: you would have one line representing distance (0, 2, 4, 6, 8, 10) and another representing time (0, 7, 14, 21, 28, 35). Each point on the distance line links with the time it corresponds to. You would see that reaching 10 miles aligns with 35 minutes on the time line, showing clearly how Alisa’s speed remains consistent. Fun math visualization, right?