Question

David is rowing a boat upstream. The river is flowing at a speed of 2 miles per hour. David starts rowing at a speed of 6 miles per hour, and his speed decreases at a rate of 1.5 miles per hour.
The equation _______ gives the speed of the boat after David has rowed for x hours.
y=4+1.5x
y=4-1.5x
y=6-1.5x

Answer 1

Say the direction David is rowing (upstream) is the positive direction. That makes the direction the river is flowing negative.

David rows at 6 mph, but the river is flowing at 2 mph in the opposite direction. That means his "net" speed, relative to an observer on the ground, is 6-2 = 4 mph.

He loses 1.5 mph of his speed every hour, so after x hours, his speed is 4-1.5x.

Does that make sense?

Answer 2

YES THANK YOU <3

Answer 3

Your Welcome!