Michael pays his cell phone service provider $49.95 per month for 500 minutes. Any additional minutes used cost $0.15 each. In June, his phone bill is $61.20. How many additional minutes did he use?

75 additional minutes

Step-by-step explanation:

61.20 - 49.95 = 11.25 (additional minutes price charged)

11.25 ÷ .15 = 75 (additional minutes)

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:

good job you smart son of a gun you are smarter that einstein. 7