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At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly.

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Presentation on theme: "At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly."— Presentation transcript:

1 At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly worker can assemble up to 200 toys in a day. a.Write a model for the average assembly cost per toy if the worker puts together t toys in a day

2 At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly worker can assemble up to 200 toys in a day. b. What is the average assembly cost per toy if the worker puts together 100 toys in a day?

3 At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly worker can assemble up to 200 toys in a day. c.What would be a reasonable domain and range for this model? Explain

4 The cost for sod (grass) is directly proportional to the number of square feet purchased. It cost $168 to purchase 400 square feet of sod. a.Write a model for the cost of this sod

5 The cost for sod (grass) is directly proportional to the number of square feet purchased. It cost $168 to purchase 400 square feet of sod. b.What is the cost for 2000 square feet of sod?

6 The cost for sod (grass) is directly proportional to the number of square feet purchased. It cost $168 to purchase 400 square feet of sod. c.If Mark was charged $2310 for sod how much did he purchase?

7 The illumination of a light source in foot candles is inversely proportional to the square of the distance in feet from the light source. A projector provides an illumination of 140 foot candles when placed 5 ft from the screen. a.Write a model for the illumination of this projector

8 The illumination of a light source in foot candles is inversely proportional to the square of the distance in feet from the light source. A projector provides an illumination of 140 foot candles when placed 5 ft from the screen. b.What is the illumination from this projector when it is placed 7 ft from the screen?

9 a.If y varies inversely with 5x and y = 5.6 when x = 30, write an equation to represent this relationship b.Find y when x = 12

10 The total United States debt to foreign countries can be modeled by Where D(t) is the total US debt held by foreign countries in billions of dollars t years since The United States population can be modeled by Where P(t) is the population of the United States in billions t years since Source: Models derived from data at the US Treasury Department and Google.com. a.Estimate the amount of US debt to foreign countries in

11 The total United States debt to foreign countries can be modeled by Where D(t) is the total US debt held by foreign countries in billions of dollars t years since The United States population can be modeled by Where P(t) is the population of the United States in billions t years since Source: Models derived from data at the US Treasury Department and Google.com. b.Estimate the population of the US in

12 The total United States debt to foreign countries can be modeled by Where D(t) is the total US debt held by foreign countries in billions of dollars t years since The United States population can be modeled by Where P(t) is the population of the United States in billions t years since Source: Models derived from data at the US Treasury Department and Google.com. c.Find a model for the average amount of foreign debt per person in the US

13 The total United States debt to foreign countries can be modeled by Where D(t) is the total US debt held by foreign countries in billions of dollars t years since The United States population can be modeled by Where P(t) is the population of the United States in billions t years since Source: Models derived from data at the US Treasury Department and Google.com. d.Estimate the average amount of foreign debt per person in the US in

14 Find the domain of the following rational functions. Determine if the excluded values represent where a vertical asymptote or a hole appear in the graph. a

15 Find the domain of the following rational functions. Determine if the excluded values represent where a vertical asymptote or a hole appear in the graph. b

16 Find the domain of the following rational functions. Determine if the excluded values represent where a vertical asymptote or a hole appear in the graph. c

17 Simplify the following rational expressions. a. b

18 Simplify the following rational expressions. a. b

19 Simplify the following rational expressions. c

20 Simplify the following rational expressions. a

21 Simplify the following rational expressions. a

22 a. Divide b. Divide by by

23 a. Divide b. Divide by by

24 a. Use synthetic division to divide by b. Divide by

25 Multiply the following rational expressions. a. b

26 Multiply the following rational expressions. a. b

27 Divide the following. a. b

28 Divide the following rational expressions

29 Find the least common denominator for each of the following sets of fractions and rewrite each fraction in terms of the LCD. a. b

30 Find the least common denominator for each of the following sets of fractions and rewrite each fraction in terms of the LCD. a. b

31 Add the following rational expressions. a. b

32 Add the following rational expressions. a

33 Add the following rational expressions. a. b

34 Subtract the following rational expressions. a. b

35 Simplify the following complex fractions. a. b

36 Solve the rational equation

37 At a small toy manufacturer, a day’s salary for an assembly worker is $120. The supervisor wants to determine the average assembly cost per toy. An assembly worker can assemble up to 200 toys in a day. In section 7.1 we found the model Where is the average assembly cost in dollars per toy when t toys are put together in a day. How many toys does the worker need to put together in a day to keep the average assembly cost to $0.75 per toy?

38 Solve the following rational equation. Check your answer in the original equation

39 In Section 7.1 we found a model for the average amount of foreign debt per person in the US in dollars, t years since In what year will the average amount of foreign debt per person in the US be $100,000?

40 Solve the following rational equations. Check your answer in the original equation. a

41 Solve the following rational equations. Check your answer in the original equation. b

42 A new machine can produce an order of books in 6 hours. An older machine can produce the same order of books in 10 hours. How long would it take both machines working together to produce the order of books?


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