Walter from a leaking faucet is dripping into a cylindrical cup. The weight of water in inches, why, after x hours is graphed below. which describes the pattern of the data in the graph?
A. the water level increases by 1 inch each hour
B. The water level increases by 2 inches each hour
C. The water level increases by a factor of 1/2 each hour
D. the water level increases by a factor of 2 each factor.

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:

step by step explanation: when u removing the parentheses and combined them that would be : x+3y-x-y=2y

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10