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You are draining your fish aquarium that is full of water at the start. After two minutes, there are 6 gallons of water in the aquarium. After 5 minutes, the aquarium is empty.

A) Write an equation that represents the volume y (in gallons) of water in the aquarium after x minutes.

B) Interpret the slope.

Please help and please show your work!



Answer :

apologiabiology
so after 2 minutes, 6 left and
5 minutes=0 left
so if x=2 then y6
if x=5 then y=0
x is obviously negative
y=-sometingx
find slope
(y1-y2)/(x1-x2)
(6-0)/(2-5)=6/-3=-2

so y=-3x+b
solve for b
if y=0 then x=5
0=-3(5)+b
0=-15+b
add 15 to both sides
15=b

the equation is y=-3x+15
y=mx+b
m=slope


A. equation is y=-3x+15

B. slope=-3

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