Question

Say you go kayaking over a 2 mile stretch of river. The river is flowing at a speed of 1mph. You go 2 miles upstream, and then 2 miles downstream, back to your starting point, for one round trip. Make a function for it, then give me the graph of this function. Use a share link from Desmos, or upload a picture, or scan the graph you made on a piece of paper. Remember to show all vertical asymptotes and any horizontal asymptote.

Answer 1

4 mph

Explanation:

Givens

Current = c = 2 mph

Alberta = r = ?

d = 2 mph upstream

d1 = 6 mph downstream

Formula

d = r * t

The time is the same so the formula becomes d/r = t

2/(r - 2) = 6/(r + 2)

Solution

Cross Multiply

2*(r + 2) = 6*(r - 2)

2r + 4 = 6r - 12 Subtract 2r from both sides

4 = 6r - 2r - 12 Combine the right.

4 = 4r - 12 Add 12 to both sides.

4 + 12 = 4r

16 = 4r Divide by 4

16/4 = 4r/4

r = 4