Final answer:
To find out how long it would take for Helena to run 4 miles, we can set up a proportion. We can write the proportion: 1 mile / 8 minutes = 4 miles / x minutes. To highlight on the double number line how far Helena will run in 12 minutes, we can set up another proportion. We can write the proportion: 8 minutes / 1 mile = 12 minutes / y miles.
Step-by-step explanation:
To create a double number line, we need to understand the relationship between the time it takes for Helena to run a certain distance. The given information tells us that Helena takes 8 minutes to run 1 mile. To find out how long it would take for Helena to run 4 miles, we can set up a proportion. Since 1 mile is equivalent to 8 minutes, we can write the proportion: 1 mile / 8 minutes = 4 miles / x minutes. Cross-multiplying, we get x minutes = (8 minutes * 4 miles) / 1 mile = 32 minutes.
To highlight on the double number line how far Helena will run in 12 minutes, we can set up another proportion. Since Helena takes 8 minutes to run 1 mile, we can write the proportion: 8 minutes / 1 mile = 12 minutes / y miles. Cross-multiplying, we get y miles = (1 mile * 12 minutes) / 8 minutes = 1.5 miles.
Thus, on the double number line, Helena will run 4 miles in 32 minutes and she will run 1.5 miles in 12 minutes.