Course 1 Unit 2
Lesson 3 Investigation 2-Quick Tables and Graphs
Page 126
1 a. Minimum X value for Table 1: ______
Minimum X value for Table 2: ______
- Step value for Table 1: ______
Step value for Table 2: ______
- Produce each of these tables on your calculator. You may want to write the steps into your Toolkit.
2 Use the table on your calculators to find:
- the profit if 280 tickets are sold: ______
- the number of tickets that must be sold for the theater to break even: ______
- the number of tickets that must be sold to make a profit of $800: ______
- How would you set up a technology-produced table to quickly find the profit if 317 tickets are sold?
- a. NEXT = ______START: ______
- Use the “last answer” function on your calculator to build a table of profit values as in Table 1. In a data table, record each profit value and the corresponding number of tickets sold.
- Use the method in Parts a & b to build a table of profit values as in Table 2.
- a. Write a rule giving daily profit as a function of the number of tickets sold.
P =
- Use the table making capabilities of your graphing calculator and complete the table below:
Number of Tickets / 0 / 25 / 50 / 75 / 100 / 125 / 150 / 175 / 200 / 225 / 250 / 275 / 300
Profit
Each group member should write one question about the relation between the number of tickets sold and profit that can be answered from the data table above. Be prepared to share your question.
- Use calculator generated tables to answer the following questions.
- How does profit change when ticket sales increase? (Use steps of 15 tickets)
- What is the theater’s profit if a blockbuster movie is shown and 600 tickets are sold?
e. Fewest number of tickets: ______
5 a. Xmin: _____Xmax: _____Xscl: ______
Ymin: ______Ymax: _____Yscl: ______
b. Produce the scatter plot on your calculator.
6 a. Do the coordinate values look the same?
- Replot the graph using the window values as shown in your text. TRACE the graph and answer the following questions:
- Do the coordinate values look the same as the data given in Table 2 on page 126?
- What is the change in x-coordinates from one point to the next as you trace along the graph of the line?
- What is the change in y-coordinates from one point to the next as you trace along the graph of the line?
- Compare, on your graphing calculators, the graph of the original rule relating profit to number of tickets sold which was to the graph of the rule you developed in activity 4 which should be . Answer the following:
- Compare the break even points of the two ticket-pricing/operating-cost plans.
- Which plan gives a better profit? ______
- How is this seen in the graphs?
- Enter this into your Math Toolkit
- Enter the rule under Y =
- Set the viewing window
- Display the graph
8 . Suppose you make a deal with your parents. They will buy you a $125 CD-Player if you promise to pay them $3.50 per week. Write a rule that relates the amount that you owe (A) with the number of weekly payments (P).
a.A = ______
- Use your calculator to make a graph of your rule in part a. Sketch your graph on the grid at the right (be sure you scale and label the axis). On your graph, label the points whose coordinates answer the questions below.
- How much will you owe after 10 weeks?
- When will you owe on $55?
- When will your loan be paid in full?
- Explain how you could produce and use a table to answer Part b.
Checkpoint:
Suppose a cross-country bus travels at an average speed of 50 miles per hour.
- Describe two ways to use a calculator to produce a table of values showing how far that bus travels as a function of time during the trip. What are the advantages or disadvantages of each method?
- Describe two ways to use a calculator to graph the relation between time and distance. What are the advantages or disadvantages of each method?
- Write and answer three different questions that can be answered using the table or the graph.
Course 1 Unit 2 Lesson 3 Investigation 2Page 1 of 5