Sophia is filling her bathtub up with water for a bath. the volume of water, y, in gallons, in the tub is a linear function of the number of minutes, x, that have passed since the tank started filling with water. the tub holds 18 gallons of water ad fills at a rate of 1 gallon for every 3 seconds. graph this function.

Step-by-step explanation:

The tub holds 18 gallons of water ad fills at a rate of 1 gallon for every 3 seconds.

x is the  number of minutes  and y is the volume of water

When x=0  then volume of water y =0

so y intercept is 0

We use linear equation y = mx +b where m is the slope and b is the y intercept

Tank fills at a rate of 1 gallon for every 3 seconds.

So slope =

m = 1/3  and we know y intercept b =0

So equation becomes

Function

When x =0  , y=0 we got already (0,0)

Tub holds 18 gallons of water

Now we need to find out number of minutes x  takes to fill 18 gallons of water

plug in 18 for y and solve for x

multiply by 3 on both sides

x= 54 seconds to fill 18 gallons of water

other point is (54,18)

Now we use (0,0)  and (54,18) to graph the function

The graph is attached below

it’s the first one your welcome