Some friends are having a frog-jumping contest. Frog A jumps six inches each time. Frog B jumps two times as far as Frog A each time. Frog C jumps three times as far as Frog A each time. How many jumps does it take each frog to go forty-eight feet? Show all your mathematical thinking.

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:

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step-by-step explanation:

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i believe that the answer is

b. y-1=-2(x-4)

hope this !