Answer:
36 miles
Step-by-step explanation:
Given - Dylan 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.
To find - If he keeps up this plan for 11 weeks, how many total miles would
Dylan have run ?
Proof -
1st week = 14 miles
2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4
3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94
4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634
5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974
6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714
7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857
8th week = 24.801857 + 10% of 24.801857 = 24.801857 + 2.4801857 = 27.2820427
9th week = 27.2820427 + 10% of 27.2820427 = 27.2820427+ 2.72820427 = 30.01024697
10th week = 30.01024697 + 10% of 30.01024697 = 30.01024697 + 3.001024697 = 33.01127167
11th week = 33.01127167 + 10% of 33.01127167 = 33.01127167 + 3.301127167 = 36.31239884 ≈ 36
∴ we get
Total miles Dylan would run = 36 miles.
