You want to get from a point A on the straight shore of the beach to a buoy which is 62 meters out in the water from a point B on the shore. B is 70 meters from you down the shore. If you can swim at a speed of 4 meters per second and run at a speed of 6 meters per second, at what point along the shore, x meters from B, should you stop running and start swimming if you want to reach the buoy in the least time possible? B Buoy T(x) : x = swim Find a formula for the time spent in terms of x = 3844+x² 4 70 - X 70 m 6 run wwww A Find the value for å that will minimize the total time spent running and swimming.

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
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Please show me how to find the x value.

You want to get from a point A on the straight shore of the beach to a buoy which is 62 meters out in the
water from a point B on the shore. B is 70 meters from you down the shore. If you can swim at a speed of 4
meters per second and run at a speed of 6 meters per second, at what point along the shore, x meters from
B, should you stop running and start swimming if you want to reach the buoy in the least time possible?
B
Buoy
T(x) :
x =
swim
Find a formula for the time spent in terms of x
=
3844+x²
4
70
- X
70 m
6
run
wwww
A
Find the value for å that will minimize the total time spent running and swimming.
Transcribed Image Text:You want to get from a point A on the straight shore of the beach to a buoy which is 62 meters out in the water from a point B on the shore. B is 70 meters from you down the shore. If you can swim at a speed of 4 meters per second and run at a speed of 6 meters per second, at what point along the shore, x meters from B, should you stop running and start swimming if you want to reach the buoy in the least time possible? B Buoy T(x) : x = swim Find a formula for the time spent in terms of x = 3844+x² 4 70 - X 70 m 6 run wwww A Find the value for å that will minimize the total time spent running and swimming.
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