Jarrod his teachers pack textbooks into boxes for the summer. he packed 8 boxes of science textbooks with 16 books per box. he also packed math textbooks with 12 books per box. if x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that jarrod packed into boxes? a. y = 128x + 12 b. y = 12(x - 8) + 128 c. y = 12x + 128 d. y = 128(x - 8) + 12

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:

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation: