It will take approximately 17.30 mins to fill the tank with 375 gallons of water.
How to derive equation of a line.
Let's approximate the equation that relates the number of gallons in the tank and the time.
Locate two points on the line.
Consider points (1,30) and (9, 195) on the line.
Equation of a line is given by
y = mx + b
where
m is the slope
b is y-intercept
b = 19 from the graph)
calculate slope
slope = change in y/change in x
m = y2 - y1/x2 - x1
m = 195 - 30/9 - 1
m = 165/8
m = 20.625
Substitute into the equation of a line
y = mx + b
y = 20.625x + 19
So, the equation that relates the number of gallons in the tank and time is y = 20.625x + 19.
When the tank has 375 gallons of water.
y = 375
375 = 20.625x + 19
20.625x = 375 - 19
20.625x = 356
x = 356/20.625
x = 17. 26 mins.
It will take approximately 17.30 mins to fill the tank with 375 gallons of water.
Complete question