A bag contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food 1 point each day. How many days will the dog food last if you feed him the same
amount each day?

O 126 Days
O 98 Days
O 21 Days
O 18 Days

It will last 18 days.

Step-by-step explanation:

its 18 days

Step-by-step explanation:

what i did was divide 42 divided by 2

then i added 21 1/3 and got 18

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: