In which equation is the constant of proportionality 5? a. x = 5y b. y = 5x c. 6 = x + 5 d. 6 = 5 - x

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

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: