Final answer:
To find out how long it will take Juan to run 7 miles, we can set up a proportion using the ratio of distance to time. Since Juan ran 3 miles in 45 minutes, we can use cross-multiplication to solve for x, which is the time it will take for Juan to run 7 miles. The answer is 105 minutes.
Step-by-step explanation:
To find out how long it will take Juan to run 7 miles, we can set up a proportion using the ratio of distance to time. Since Juan ran 3 miles in 45 minutes, we have the ratio 3 miles / 45 minutes = 7 miles / x minutes. We can cross-multiply and then solve for x:
3/45 = 7/x
3x = 45 * 7
3x = 315
x = 315 / 3
x = 105
Therefore, it will take Juan 105 minutes to run 7 miles.