Module 4

Day 64

There is no journal entry required today.

Day 65

In your own words, explain the difference between an independent variable and a dependent variable and how you know which axis to graph each of them.

Day 66

Write a short paragraph explaining how to use the method of differences to determine whether a function is linear, quadratic, or neither.

Day 67

By looking at the following, how could you tell whether it represents a linear function?

1. table
2. equation
3. graph

Day 68

Explain why the ordered pair (-1,3) is a solution of y = -2x-1.

Day 69

Would you rather determine if a function is linear by looking at the equation or at a table of values. Why?

Day 70

By looking at a line how can you tell if the slope is positive or negative? Explain how you remember the difference between positive and negative slopes.

Day 71

Why isn’t the slope a vertical line 0? Explain your answer in a short paragraph.

Day 72

Day 73

A friend says that the slope of the line passing through (1,7) and (3,9) is equal to the ratio 1-9 . Is this correct? Explain.

Day 74

Describe two different ways to find the slope of a line.

Day 75

Write a paragraph explaining how to use the slope and y-intercept to write an equation and to draw a graph.

Day 76

Explain how to determine whether a scatter plot has a positive or a negative correlation.

Day 77

Decide whether the following statement is true or false. Then explain your answer: A trend line is a line that connects as many points in a set of data as possible.

Day 78

Name two situations in your own life that would represent no correlation. Name two situations that would represent positive correlation and two that would represent negative correlation.

Day 79

Day 80

Tara wrote y=3.5x-8 as an equation of a line having a slope of 3.5 and a y-intercept of –8. Chris wrote 7x-2y=16 as an equation of the same line. Who is correct and why?

Day 81

List all the types of information you can use to write an equation of a line. Be sure to include examples of each.

Day 82

Explain and illustrate how you graph a line if you know a point on the line and its slope.

Day 83

List all the possible ways you know to graph the equation of a line. Which of these methods do you prefer and why.

Day 84

Write a paragraph explaining how the values of m and b in the slope-intercept form affect the graph of the equation. Include examples with your paragraph.

Day 85

If two lines in the coordinate plane do not seem to cross, does this mean that they never cross? Explain why slope might be helpful when determining if two lines cross.

Day 86

Explain how you can use the midpoint formula to find the midpoint of each of the following:

a.  a vertical line segment
b.  a horizontal line segment

Day 87

Explain why some graphs of linear inequalities contain solid lines and some contain dotted lines.

Day 88

Explain how you would check whether a point is part of the graph of an inequality.

Day 89

Day 90

Use the following set of data to answer the questions below.

76 3/5, 79.1, 8 � %, 243/3, 80.5, 80 14/20, 81

a.  Describe a method of finding the median.
b.  Use the method that you described to find the median. Show your work.

Day 91

Hector and Theo are in the same gym class. During the past month, they have each recorded the total number of pull-ups that they can do. Gym class meets three times each week. Hector’s and Theo’s totals for each class are given below.

Week 1 34,35,37 15,17,18
Week 2 38,37,40 20,23,24
Week 3 45,44,47 26,27,29
Week 4 51,52,54 30,32,34

a.  What type of graph would best display the data given? Why is this type of graph better than another type of graph?
b.  Graph the data, using the type of graph that you have chosen.
c.  Who has improved most, Hector or Theo? Explain your answer.

Day 92

Lester is 18 years old and earns $5.00 per hour at his job. Lester works 40 hours each week, 50 weeks each year.

a.  How much does Lester earn in 1 year?
b.  If he receives a $1.00 per hour raise every year, how old will he be when he is making $50,000.00 per year? Explain your answer.
c.  Suppose Lester was offered either a $0.50 per hour raise every year or a 10% raise in his salary every year. Which increase would be better in the long run? Support your answer.

Day 93

Jennie is a designer at a publishing company. In the next 4 weeks, she will be working on 8 projects. The projects and the number of days they will take are listed below.

Jennie works 5 days a week. In the first, second, and fourth weeks, Jennie can work on three projects at once. In the third week, she can only work on two projects at once. Jennie can schedule the projects for any time during the month, but a single project must be done on consecutive days, not including the weekends.

Based on the information that you have been given, develop a schedule for Jennie that allows her to complete all the projects in the time that she has been given. Explain how you made your schedule.