Answer:
7x-48
Step-by-step explanation:
we want our equation to look something like this
y=mx+b
let's start by solving for m (the slope) using the slope formula
Which means, so far, our equation looks like this
y=7x+b
now we just need to solve for B
We can do this by plugging in a set of coordinates
-6=7*6+b
-6=42+b
-48=b
which means our equation is
7x-48
The number of gallons of water in the tank at t=10 is
... W(10) = 160,000 -10(8000 -10) = 80100
The number of gallons of water in the tank at t=10.5 is
... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25
The rate of change over the interval is
... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5
The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.
The sign is negative, so the amount of water is decreasing.
