Final answer:
To find how many more kilometers Emily can bike in two hours than in 45 minutes, calculate her average speed for both time periods. In 45 minutes, Emily can bike 15 kilometers. In two hours, Emily can bike 80 kilometers. The difference is 65 kilometers.
Step-by-step explanation:
To find out how many more kilometers Emily can bike in two hours than in 45 minutes, we need to calculate her average speed for both time periods. Since the relationship is assumed to be proportional, her average speed will remain the same.
In 45 minutes, Emily can bike 15 kilometers. To find out how far she can bike in two hours, we can set up a proportion:
45 minutes is to 15 kilometers as 120 minutes (2 hours) is to x kilometers
Cross multiplying, we get:
45 * x = 15 * 120
x = 3600 / 45
x = 80 kilometers
Therefore, Emily can bike 80 kilometers in two hours. The difference between her distance in two hours and 45 minutes is:
80 kilometers - 15 kilometers = 65 kilometers
So, Emily can bike 65 more kilometers in two hours than in 45 minutes.