Uppose you select a random card from a standard deck of
52
cards and no jokers. if you draw a face card (king, queen, or jack), you win
$5
. if you draw an ace, you win
$20
. if you draw any other card, you lose
$2
. what is the expected profit from any one draw?

answer: $-2

step-by-step explanation:

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000

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: