Sagot :
he initial amount of water in the tank was 120 gallons, 1.33 gallons of water is lost per minute and the tank would be empty in 90 minutes.
What is a linear equation?
A linear equation is in the form:
y = mx + b
Where m is the rate of change (slope) and b is the initial value of y.
Let y represent the amount of water in tank after x minutes.
From the graph, the y intercept is at 120 gallons. This means that the initial amount of water in the tank was 120 gallons,
The line passes through (0, 120) and (30, 80):
slope = (80 - 120) / (30 - 0) = -1.33
1.33 gallons of water is lost per minute.
The equation of the line is y = -1.33x + 120
For y = 0:
0 = -1.33x + 1200
x = 90
The tank would be empty in 90 minutes.
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