The concentration of a given substance in a mixture is the ratio of the amount of
substance to the total quantity. In symbols, we have C = where C is the
concentration, A is the amount of substance and T is the total quantity.
If 8 ounces of punch contains 4 ounces of pure pineapple juice, the concentration of
pineapple juice in the punch is or 0.5 or 50%. The punch is 50% pineapple juice.
Consider the problem where we begin the 8 ounces of punch that is 50% pineapple
juice and want to write a function that gives the pineapple juice concentration after x
ounces of pure pineapple juice are added:
a. How much pineapple juice do you begin with? Write an expression for the
amount of pineapple juice present after x ounces has been added.
b. Write an expression for the total amount of punch present after x ounces has
been added.
c. Using the answers in (a) and (b), write a rational function defining the
pineapple juice concentration as a function of x.
d. Give the domain of the rational function in (c).
e. what is the equation of the vertical asymptote and the horizontal asymptote?

Healthy Hots, a fast-food restaurant that offers heart-healthy food, is experiencing several difficulties with operations. Although customers like the idea of heart-healthy foods, and surveys indicate that customers find the food to be tasty and appealing, the business has fallen off in recent weeks. At this point, the restaurant is making a profit. Customers have complained about slow service, and employee turnover is high. How can you apply the three principles of total quality management discussed in this module to improve the quality operations of the restaurant? Provide specific and possible solutions.

Step-by-step explanation:

amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added. Questions: 8. How much orange juice do you begin with? Write an expression