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Homework, Page 160

Homework, Page 160. Write a mathematical expression for the quantity described verbally. 1. Five more than three times a number x. Homework, Page 160. Write a mathematical expression for the quantity described verbally.

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Homework, Page 160

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  1. Homework, Page 160 Write a mathematical expression for the quantity described verbally. 1. Five more than three times a number x.

  2. Homework, Page 160 Write a mathematical expression for the quantity described verbally. 5. The area of a rectangle whose length is 12 more than its width x.

  3. Homework, Page 160 Write a mathematical expression for the quantity described verbally. 9. Sale price of an item marked x dollars if 40% is discounted from the marked price..

  4. Homework, Page 160 Write a mathematical expression for the quantity described verbally. 13. The revenue when each item sells for $3.75.

  5. Homework, Page 160 Write the specified quantity as a function of the specified variable. It will help to draw a sketch. 17. The base of an isosceles is half as long the two equal sides. Write the area as a function of the length of the base.

  6. Homework, Page 160 Write an equation for the problem and solve the problem 21. One positive number is four times another positive number. The sum of the two numbers is 620.

  7. Homework, Page 160 Write an equation for the problem and solve the problem 25. A traveler averaged 52 mph on a 182-mile trip. How many hours were spent on the trip?

  8. Homework, Page 160 Write an equation for the problem and solve the problem 29. From 1996 to 1997, worldwide shipments of PCs grew from 71,065,000 to 82,400,000. What was the percentage increase?

  9. Homework, Page 160 33. A square of side x is cut out of each corner of a 10 in by 18 in piece of cardboard. The sides are folded up to make an open box. a. Write the volume of the box as a function of x. b. Find the domain of the function. c. Use the graph to determine the dimensions of the cut-out squares that yield the maximum volume.

  10. Homework, Page 160 33. a. Write the volume of the box as a function of x. b. Find the domain of the function. c. Use the graph to determine the dimensions of the cut-out squares that yield the maximum volume.

  11. Homework, Page 160 37. An inverted conical water tank has a faucet at the apex. The tank has a depth of 24 in and a radius of 9in. It is filled to the brim and the faucet is opened to release 5 in3/sec. What will the depth of the water be after 2 min?

  12. Homework, Page 160 41. True or False The correlation coefficient gives an indication of how closely a regression line or curve fits a set of data. Justify your answer. True. The closer the correlation coefficient is to 1, the better the fit.

  13. Homework, Page 160 45. What type of regression is most likely to give the most accurate model for the scatter plot? a. Linear Regression b. Quadratic Regression c. Cubic Regression d. Exponential Regression e. Sinusoidal Regression

  14. Homework, Page 160 49. Queen, Inc., a tennis racket manufacturer, determines that the annual cost C of making x rackets is $23 per racket plus $125,000 in fixed overhead costs. It costs the company $8 to string a racket. Unstrung rackets sell for $56 and strung rackets sell for $79. a. Find a function y1 = u (x) that models the cost of producing x unstrung rackets. b. Find a function y2 = s (x) that models the cost of producing x strung rackets. c. Find a function y3 = Ru(x) that models the revenue generated by selling x unstrung rackets. d. Find a function y4 = Rs (x) that models the revenue generated by selling x strung rackets. e. Graph y1, y2, y3, and y4 simultaneously in the window [0, 10,000] by [0, 500,000]. f. Write a report to the company recommending how they should manufacture their rackets, strung or unstrung.

  15. Homework, Page 160 49. a. Find a function y1 = u (x) that models the cost of producing x unstrung rackets. b. Find a function y2 = s (x) that models the cost of producing x strung rackets. c. Find a function y3 = Ru(x) that models the revenue generated by selling x unstrung rackets. d. Find a function y4 = Rs (x) that models the revenue generated by selling x strung rackets.

  16. Homework, Page 160 49. e. Graph y1, y2, y3, and y4 simultaneously in the window [0, 10,000] by [0, 500,000].

  17. Homework, Page 160 49. f. Write a report to the company recommending how they should manufacture their rackets, strung or unstrung. After reviewing the models, we recommend that Queen, Inc. withdraw from the unstrung racket market and sell only strung rackets. The rationale for this recommendation is two-fold. In the graph, the dark lines represent cost and revenue for strung rackets, and the lighter lines represent cost and revenue for unstrung rackets. The graphs show that the breakeven point (in units sold) for strung rackets is lower than the breakeven point for unstrung rackets. Additionally, the marginal return on strung rackets is higher than the marginal return on unstrung rackets. Thank you for the opportunity to review and comment on your operational costs.

  18. Homework • Review Section 1.1 – 1.7 • Page 165, Exercises: 1 – 67 (Odd) • Chapter 1 test next time

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