A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimetersGraph the pool's water level (in centimeters) as a function of time (in minutes).
Accepted Solution
A:
y = mx + b slope(m) = 6 (20,220)....x = 20 and y = 220 now sub and find b, the y int 220 = 6(20) + b 220 = 120 + b 220 - 120 = b 100 = b so ur equation is : y = 6x + 100
to graph : y = 6x + 100.....u have a slope of 6....u have a y int of 100 or (0,100)... I would say plot (0,100) and since ur slope is 6, go up 6 and to the right 1...but that is not to helpful because ur graph is not in intervals of 1. So we will find some points on ur line.
y = 6x + 100....when x = 5 y = 6(5) + 100 y = 30 + 100 y = 130....so another point on ur line is (5,130)
y = 6x + 100...subbing in 10 for x y = 6(10) + 100 y = 60 + 100 y = 160....another point is (10,160)
keep finding points this way...here are some more... (15,190) , (20,220), (25,250)