Which statement describes this situation? snow accumulates during a storm at a constant rate of 2.6 inches per hour. how much snow accumulates in the first 6.4 hours? in the first 8.9 hours?

16.64;

23.14 (respectively)

Step-by-step explanation:

Let us represent the amount of snow per hour as x (x=2.6 inches)

so if 6.4 hours has past, the equation is 6.4x, or 16.64. we can do the same with 8.9 hours, with 8.9x=23.14

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: