The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. how many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches highly safely hold?

24 guppies

Step-by-step explanation:

Assuming a linear relationship,  the volume required per guppy is given by:

The volume of the fish tank is given by the product of its length, by its width and its height:

The number of guppies that this tank can safely hold is:

The tank can safely hold 24 guppies.

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step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is