Carlos has a tub that can hold 2 1/4 L, which is a third of what Corey's container can hold. Corey's container is half full of water. How much water does he have?

liters

Step-by-step explanation:

We have been given that Carlos has a tub that can hold 2 1/4 L, which is a third of what Corey's container can hold.  

This means that Corey's container will have 3 times the water that Carlos's tub can hold.

Let us convert 2 1/4 into mixed fraction.

Now we need to find 3 times of liters as:

So Corey's container can hold liters of water.

We are also told that Corey's container is half full of water. So to find amount of water, we will divide total amount of water by 2 as:

Convert division problem into multiplication problem by flipping the 2nd fraction.

Therefore, Corey's container has liters of water.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation: