Ahome improvement company expects the daily supply equation of their most popular cordless drill kit to be: s(q) = 10q2 + 100q +20 where s(q) is the price in dollars at which q units are supplied. find the price at which the company should set the drill kit if they plan to supply 16 a day?

Price of the drill kit should be set as $4180.

Step-by-step explanation:

Daily supply of the most popular cordless drill kit is represented by the equation

S(q) = 100q² + 100q + 20

where S(q) = price of the kits at which q units are supplied

q = number of drill kits supplied

Now we have to calculate the price of the drill kits if company plans to supply 16 kits a day.

S(16) = 10(16)² + 100(16) + 20

       = 10×256 + 1600 + 20

       = 2560 + 1600 + 20

       = $4180

Therefore, cost of the drill set should be set as $4180.

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: