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  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.

AWhat rate does the point 8,28 represent? Explain.
BWhat is the unit rate for the situation in terms of centimeters/minute? Explain.
CExplain how the points 8,28 and 6,21 show that the water level varies directly with the time elapsed.

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. class=

Verified Answer :

nerdyfoxspirit

Answer:

(a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5

(b) The unit rate is 3.5 cm/s since the rate is constant.

(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.

Step-by-step explanation: so you could mark them brainlyest

MrRoyal

The graph is an illustration of a proportional linear equation.

(a) What  point (8,28) represent

From the graph:

x represents time and y represents the water level

So, point (8,28) means that:

The water level at 8 minutes is 28 cm

(b) The unit rate

The equation is given as:

y = 3.5x

The above equation is a proportional linear equation.

Hence, the unit rate is 3.5 cm per seconds

(c) How (8,28) and (6,21) shows direct variation

These points show direct variation because the unit rates at the points are the same.

The unit rate is calculated as:

\(k = 28/8 = 3.5\)

\(k = 21/6 = 3.5\)

Hence, points 8,28 and 6,21 show that the water level varies directly with the time elapsed.

Read more about  linear equations at:

https://brainly.com/question/14323743

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