The strous of Pascal's triangle are shown. David decided to add the numbers in each row. He found the sum of the first row was 1, the sum of the second rows and the sum of the third row was 4
1
2
1
3
1
3
1
1 5 10 10 5 1
Based on the pattern in the triangle, what is the sum of the numbers in the seventh row?

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:

c

step-by-step explanation: