Dominic sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time t, in hours, since Dominic sent the letter, and the number of
people, Phour(t), who receive the email is modeled by the following function:
Phour (t) = 18•(1.05)^t

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:

a

step-by-step explanation:

strong negative correlation