The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.
What is a linear equation?
A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the amount of water in gallon after x hours.
The y intercept is (0, 175), hence b = 175.
The line passes through (0, 175) and (7, 0), hence::
Slope = (0 - 175) / (7 - 0) = -25
The equation is y = -25x + 175
The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.
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