Asoda company is filling bottles of soda from a tank that contains 500 gallons of soda. at most, how many 20 ounce bottles can be filled from the tank? ( 1 gallon = 128 ounces)

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:

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry

i honestly dont know

the answer is c. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀