If total revenue received from the sale of x items is given by R(x)equals10 ln (3 x plus 1 ), while the total cost to produce x items is C(x)equalsStartFraction x Over 3 EndFraction , find the following. (a) The marginal revenue (b) The profit function P(x) (c) The marginal profit when xequals30 (d) Interpret the results of part (c).

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:

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

the answer is d

step-by-step explanation:

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w