Answer:
Step-by-step explanation:
To answer all the parts given find the equation of the line given in the graph.
Let the equation is,
y = mx + b
m = slope of the line
b = y-intercept
x = time
y = Amount of water
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the given line passing through (0, 80) and (1, 320)
m = [tex]\frac{320-80}{1-0}[/tex]
m = 240
Y-intercept 'b' = 80
Therefore, y = 240x + 80 will be the equation.
a). At x = 0
y = 240(0) + 80
y = 80 liters
b). As the time is increasing amount of the water is increasing
Rate of increase in the water = Slope of the line
= 240 liters per minute
