PLS HELP I WILL GIVEbr /> In the equation y= kx, what does k represent? Write an equation ( using the information above) to solve the following problem: Alex is filling up his fish tank with water. He has used 3/4 of a gallon and has filled 1/3 of the tank. How many gallons of water will it take to fill the fish tank?

k is the constant of proportionality

2 1/4 gallons

Step-by-step explanation:

y = kx, k is the constant of proportionality

y = how much of the tank is filled

x = how many gallons used

1/3 = k (3/4)

Multiply each side by 4/3 to isolate k

4/3*1/3 = k (3/4)*4/3

4/9 = k

y = 4/9x

We want y to be 1 for a full tank

1 = 4/9 x

Multiply each side by 9/4 to isolate x

9/4 = 4/9 x * 9/4

9/4 =x

We need 9/4 gallons or simplifying

2 1/4 gallons

k : constant of proportionality

1.5 gallons more

Step-by-step explanation:

In y = kx

k is the constant of proportionality

T = kW

⅓ = k(¾)

k = 4/9

⅓ is filled

To be filled: 1 - ⅓ = ⅔

⅔ = (4/9)W

W = 3/2 = 1.5

He needs an additional 1.5 gallons

The entire tank takes

1.5 + ¾ = 2.25 gallons of water

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept