Question

1. Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minutes, since she began filling the trough. The graph shows this relationship.
(a) What rate does the point represent? Explain.
(b) What is the unit rate for the situation in terms of centimeters/minute? Explain.
(c) Explain how the points and show that the water level varies directly with the time elapsed.

Answer 1

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depth of water is proportional to time
d = k*t
d = 7/2 * t 
a) the point (2,28) represents the rate 28/8 
b) 3.5 cm/sec
c) the slope between  (8, 28) and (6, 21) is 7/2 = 3.5