# Exponential vs. linear growth over time

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### Problem

Two cities are building bicycle paths.
• Charles City has built 5, space, k, m of bicycle paths by the end of the first month, and the total length of the paths doubles each month.
• Tinsel Town has built 21, space, k, m of bicycle paths by the end of the first month, and the total length of the paths increases by 5, space, k, m per month.
In which month will the total length of the bicycle paths in Charles City first exceed the length in Tinsel Town?
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