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Graphing, Tracing, Zooming

Lessons

1) Ten students prepared for a quiz and kept track of the time that each spent studying. Each reported the number of hours on the quiz and the teacher recorded the quiz grade of each student. 
Is there a relationship between the number of hours spent preparing for the quiz and the quiz grade?

2) Framers believe that there is a linear relationship between the average amount of rainfall during the growing season of carrots and the average weight of a carrot produced.
Is there a linear relationship between the average amount of rainfall and the average weight?

3) The cost of operating the Internal Revenue Service (IRS) increased steadily from 1980 to 1990. 
Is there a linear growth pattern in the data supplied?

4) In 1980, 3.5% of the doctorates in engineering were awarded to women. By 1990, 8.5% were being earned by women.
Can you find the average rate of change in the percentage of engineering doctorates earned by women from 1980 to 1990?

5) The percentage of female law enforcement officers in the United States rose from 9.4% in 1983 to 13.8% in 1990.
Can you find the average rate of change in the percentage of female law enforcement officers in the United States from 1983 to 1990?

6) In 1970, 130 African-American women held elected Federal Offices in the United States. By 1990, the number had increased to 1950. In 1973, Barbara Jordan became the first African-American woman from a Southern state to serve in the United States Congress.
Can you find the average rate of change in the number of African-American women holding elected Federal Offices in the United States?

7) Gratuity on service at a restaurant is usually 15% of the cost of the meal before the tax is added to the bill. 
Can you develop a table that displays what the amount of gratuity should be for meals costing between $20 and $200 with dollar increments of 10?

8) A certain culture of bacteria doubles every hour. This type of growth is commonly called exponential growth and it is quite rapid.
Can you develop a table that displays what the bacteria count is every hour given an initial bacteria count of 100 and allowing the growth to take place over the next 10 hours?

9) The hourly wage at a fast food restaurant starts at $4.75 per hour with $0.25 increments after each subsequent year of working experience at the restaurant. Hourly employees can work only 37.5 hours per week, do not get paid vacations, and work 52 weeks per year.
Can you develop a table that shows at each stage of a nine year employment period what an employee earns each week and each year?

10) Use the CASIO FX7400G to draw the graph of the inequality 2 x + 3 y > 2 y + 1

11) Use the CASIO FX7400G to draw the graph of the inequality y + 2 < x2 (squared)

12) Use the CASIO FX7400G to draw the graph of the inequality y x2 (squared) > 1

13) Use the CASIO FX7400G to draw the graph of the inequality y > x2 (squared) + 6 x + 16

14) Use the CASIO FX7400G to draw the graph of the inequality
 y >  

15) Use the CASIO FX7400G to draw the graph of the inequality 

  y < 

16) Use the CASIO FX7400G to draw the feasibility region of the system of inequalities given below and find the integer values of the vertices: 

y < 4, y < -2 x + 12, y > -2/3 x + 4

17) Use the CASIO FX7400G to draw the feasibility region of the system of inequalities given below and find the integer values of the vertices: 

y < - 2 x + 20, y > - 10 x + 36, y > - 2/5 x + 36/5

18) Use the CASIO FX7400G to draw the feasibility region of the system of inequalities given below and find the integer values of the vertices:

19) All three of these activities are closely related and can be accomplished graphically using the CASIO FX7400G.

1. Find the roots of y = x2(squared) + 4 x + 5 
2. Solve for x: x2(squared) + 4 x + 5 = 0 
3. Factor x2(squared) + 4 x + 5

20) All three of these activities are closely related and can be accomplished graphically using the CASIO FX7400G.

1. Find the roots of y = x3(cubed) - 4 x2(squared) + 7 x - 6 
2. Solve for x: x3(cubed) - 4 x2(squared) + 7 x - 6 = 0 
3. Factor x3(cubed) - 4 x2(squared) + 7 x - 6 

21) Solving an equation of quadratic form can be accomplished graphically using the CASIO FX7400G.
Solve for x: x4 - 13 x2 + 36 = 0

22) An experiment was performed which measured the number of hours a certain brand of battery allowed a toy rabbit to operate. Twenty-four randomly selected batteries of that particular brand were tested. Below are the number of hours each battery lasted.

Hours: 34 37 29 31 32 33 31 29 28 35 36 30 36 30 29 34 22 33 35 32 30 32 34 28

Use the CASIO FX7400G to draw a boxplot for these data and give the five-number summary (Min, Q1, Median, Q3, Max) of the hours.

23) In a large urban public school district, a random sample of the percent of students in Algebra who pass are given below:

Percent: 80 78 82 83 78 80 75 79 82 89 81 79 80 79 81 82 76 73 80 79 81 78 80 77

Use the CASIO FX7400G to draw a boxplot for these data and give the five-number summary (Min, Q1, Median, Q3, Max) of the hours.

24) Below are the percents of the popular vote won by the successful candidate in each of the presidential elections from 1948 to 1988.

Use the CASIO FX7400G to draw a boxplot for these data and give the five-number summary (Min, Q1, Median, Q3, Max) of the hours.

25) A fisheries researcher compiled the following data on lengths of randomly selected 6-year-old white female crappies (in millimeters):

217 219 231 225 223 235 230 217 222 214 225 251 220 225 220 221 253 210 218
221 228 222 233 220 218 225 234 222 227 213 235 223 222 223 234 224 231 220

Use the CASIO FX7400G to draw a histogram for these data.

27) A teacher uses a ten point grading scale to measure student performance. The following data were the final course averages for a class of 23 students:

56, 61, 79, 91, 91, 74, 70, 93, 55, 54, 93, 55, 65, 92, 64, 46, 97, 56, 79, 70, 60, 61, 68

Use the CASIO FX7400G to draw a histogram for these data.

28) Consider the following data:

Use the CASIO FX7400G to draw a quadratic regression for these data.

29) Consider the following data:

Use the CASIO FX7400G to draw a quadratic regression for these data.

30) Consider the following data:

Use the CASIO FX7400G to draw a logarithmic regression for these data.