Question

Eli just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% each week. If he keeps up this plan for 10 weeks, how many total miles would Eli have run, to the nearest whole number?​

Answer 1

Eli would have run a total of approximately 214 miles (to the nearest whole number) after 10 weeks.

Explanation:

Here's how to solve the problem:

Week 1: Eli runs 14 miles.

Week 2: Eli runs 14 x 1.1 = 15.4 miles (increases by 10%).

Week 3: Eli runs 15.4 x 1.1 = 16.94 miles (increases by 10%).

Week 4: Eli runs 16.94 x 1.1 = 18.63 miles (increases by 10%).

Week 5: Eli runs 18.63 x 1.1 = 20.49 miles (increases by 10%).

Week 6: Eli runs 20.49 x 1.1 = 22.54 miles (increases by 10%).

Week 7: Eli runs 22.54 x 1.1 = 24.79 miles (increases by 10%).

Week 8: Eli runs 24.79 x 1.1 = 27.27 miles (increases by 10%).

Week 9: Eli runs 27.27 x 1.1 = 29.99 miles (increases by 10%).

Week 10: Eli runs 29.99 x 1.1 = 32.99 miles (increases by 10%).

Therefore, Eli would have run a total of approximately 214 miles (to the nearest whole number) after 10 weeks.