Answer:
a) -900 L/min
b) 63000 L
c) -900t +63000
d) 7200 L
Step-by-step explanation:
a) You are given two points on the curve of volume vs. time:
(t, V) = (20, 45000) and (70, 0)
The rate of change of volume
= ΔV/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 liters per minute
b) In the first 20 minutes, the change in volume was
(20 min)(-900 L/min) = -18000 L
So, the initial volume was
initial volume - 18000 = 45000
initial volume = 63,000 liters
c) Since we have the slope and the intercept, we can write the equation in slope-intercept form as
V= -900t +63000.
d) now putting the number in the equation and do the arithmetic.
When t=62, the amount remaining is
= -900(62) +63000 = -55800 +63000 = 7200
Thus, 7200 L remain after 62 minutes.
