Atown has accumulated 3 inches of snow, and the snow depth is increasing by 6 inches every hour. a nearby town has accumulated 6 inches, and the depth is increasing by 3 inches every hour. in about how many hours will the snowfall of the towns be equal?

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

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step-by-step explanation:

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: