Final answer:
To find out how many minutes it will take Samara to run 12 miles, we use a proportion based on her current pace of 4 miles in 38 minutes. By cross multiplying and solving for x, we find that it will take her approximately 114 minutes to run 12 miles at the same pace.
Step-by-step explanation:
To find out how many minutes it will take Samara to run 12 miles, we can set up a proportion using the given information. We know that Samara runs 4 miles in 38 minutes, so we can set up the proportion 4 miles / 38 minutes = 12 miles / x minutes. To solve for x, we can cross multiply and then divide: 4 * x = 38 * 12. Then, divide both sides of the equation by 4 to solve for x: x = (38 * 12) / 4.
Simplifying, we find that x = 114 minutes. Therefore, it will take Samara approximately 114 minutes to run 12 miles at the same pace.