Question

Juan is filling a tank. The graph shows the amount of water in liters) in the tank versus time (in minutes).

Answer 1

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 $(x_1,y_1)$ and $(x_2, y_2)$ is,

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the given line passing through (0, 80) and (1, 320)

m = $\frac{320-80}{1-0}$

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