A company has found that the daily demand x for its boxes of chocolates is inversely proportional to the price p. When the price is $5, the demand is 800 boxes. Approximate the demand when the price is increased to $6.

667 boxes

Step-by-step explanation:

-Given that x is the demand and p the price.

-Let  k be the constant of proportionality. We then express the inverse relationship as:

#We substitute for the new x value and the calculated k to solve for p:

Hence, the demand at a price of $6 is approximately 667 boxes

8 2/3 is the answer

step-by-step explanation: just use a calculator

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is