SOLUTION: Sharee has had an operation and needs to build up her strength by walking. She slowly increases the time for which she walks. She wants to increase the time for which she walks to

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Question 1016810: Sharee has had an operation and needs to build up her strength by walking. She slowly increases the time for which she walks.
She wants to increase the time for which she walks to 160 minutes each day. The first week she goes for a 10-minute walk each day.
Each Monday she doubles the time for which she walks each day.
The time for which she walks each day in week n can be modelled by the equation
T = 10 × 2n – 1
How many weeks will it take her to reach her goal of walking for 160 minutes a day?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The time (in minutes for which Sharee walks each day in week n can be modeled by the equation
T+=+10+%2A+2%5E%28%28n-1%29%29
We want to find the value of n that makes T=160 , so our equation is
160=+10+%2A+2%5E%28%28n-1%29%29
160%2F10=+10+%2A+2%5E%28%28n-1%29%29%2F10
16=2%5E%28%28n-1%29%29
2%5E4=2%5E%28%28n-1%29%29
4=n-1
4%2B1=n
highlight%28n=5%29