Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces to sell and
wants to make a total profit of $54. The following equation describes the situation. 12(x-3.20) - 54
Carolyn found that x = 7.7 and determined that she will make a profit of $7.70 on each necklace. Which error did Carolyn
make?

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:

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)