Last Friday, Jason purchased 12 packages of baseball cards. Each package contained 35 cards. If 1/7 of the cards featured pitchers, how many cards featured batters?

360

Step-by-step explanation:

12 packages * 35 cards = 420 total cards.

1/7 of 420 = 420 * 1/7 = 60

if 60 cards were pitchers, then 420-60 = 360 cards were batters

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:

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )