can someone help me please.... picture attached

Question

anonymous · Answer

attachment

anonymous · Answer

How do you express change? (slope of the line)

anonymous · Answer

i have no idea

ganeshie8 · Answer

okay.
first, water tub is full with 40 gallons of water. (see that ? the line cuts y-axis at 40.)

ganeshie8 · Answer

which is same as saying,
at x= 0, y = 40

ganeshie8 · Answer

can u see the graph and figure out this : after 1 second, how much water is there in the tub ?

anonymous · Answer

oh ok but how do i find the anser

anonymous · Answer

wait does that mean that 40/10 is 4 so they maake 10 gals per min lol thank youuu

ganeshie8 · Answer

yes you got the answer right!
let me put the explanation correctly :
to begin with, there was 40 gallons of water in tub
after 4 seconds, there are 0 gallons of water left in the tub. (Everything drained)

so... rate of change = $\frac{0-40}{4-0} = -10 \ gallons\  per\  second$

negative sign indicates its decreasing !