Weight Training

Algebra Level 3

I've been going to the gym every day and improving by 1% each day. If I can lift 100 pounds now, which of the following is the best estimate for the number of pounds I can lift in a year?

3650 365 3800 400

Chung Kevin by Chung Kevin , 46, Australia

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1 solution

Hung Woei Neoh
Jul 1, 2016

Everyday, Kevin improves by 1 % 1\% from the previous day (this should be mentioned for more clarity). This can be represented as a geometric progression, where

a 0 = 100 , r = 101 100 a_0 = 100,\;r=\dfrac{101}{100}

After a year ( 365 365 days later), he can carry

a 365 = 100 ( 101 100 ) 365 ≈ 3778.34 a_{365} = 100\left(\dfrac{101}{100}\right)^{365} \approx 3778.34

The closest answer is 3800 \boxed{3800}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Wow, Kevin's really strong :O Is it really that easy?

Alex Li - 4 years, 11 months ago

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I don't know. I don't work out. Maybe Kevin can share with you his secret training regimen

Hung Woei Neoh - 4 years, 11 months ago

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