Asubmarine is at the surface of the ocean, preparing to dive. it submerges and dives to −972 feet. then, it ascends 308 feet to avoid hitting an undersea cliff. what integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?

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:

46.2+112.3

step-by-step explanation: