Answer:
Step-by-step explanation:The equation to represent the relationship between the amount of water W (in liters) in the tank and the time T (in minutes) can be written as:
W = mT + b
In this equation, "m" represents the slope of the line, which indicates how quickly the tank is being filled with water. The value of "m" can be determined by finding the change in the amount of water divided by the change in time.
The value of "b" represents the y-intercept of the line, which is the amount of water in the tank at the beginning (when time is 0 minutes).
To find the values of "m" and "b" from the graph, you need to determine two points on the line. Look for two points where you know the amount of water and the corresponding time. Once you have these two points, you can use them to calculate the values of "m" and "b" using the slope formula.
For example, if the graph shows that when the time is 0 minutes, the amount of water is 5 liters, and when the time is 10 minutes, the amount of water is 25 liters, you can substitute these values into the equation to find the values of "m" and "b":
5 = m(0) + b (when T is 0 minutes, W is 5 liters)
25 = m(10) + b (when T is 10 minutes, W is 25 liters)
Solving these two equations will give you the values of "m" and "b" which you can then use to write the equation for the relationship between W and T.