Hello, mmulv2!

The set-up is the hard part . . . I'll leave the rest to you.

A bushwalker can walk at 5 km/h through clear land and 3 km/h through bushland.

If she has to get from point A to point B following a route indicated in the image,

find the value of x so that the route is covered in a minimum time.Code:* B | | 3-x | * C * | ____ * | √x²+4 * | x * | * | A * - - - - - - - - * D 2

She will walk from A to C through bushland.

. . From right triangle , we have: . km.

At 3 km/h, it will take her: . hours.

Then she will walk from C to B through clear land.

. . At 5 km/h, this will take her: . hours.

Hence, her total time is: .

. . andis the function you must minimize.that