 A ride on a carousel costs $3 per person. Using at least six points, draw a scatter plot with the number of riders on the horizontal axis and the total.

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Presentation transcript:

 A ride on a carousel costs $3 per person. Using at least six points, draw a scatter plot with the number of riders on the horizontal axis and the total cost on the vertical axis.

Investigation 3B Advanced Integrated Math I

 What are direct variation and indirect variation?  What do the graphs look like for direct variation and indirect variation?

 A direct variation is a relation between two variables that have a constant ratio.  If one variable doubles, the other also doubles.  Examples: ◦ Number of weeks until an event and number of days until the event ◦ Mass of an object and its weight (on Earth) ◦ Time interval and distance traveled (for constant velocity)

 Graphs are always straight lines that pass through the origin, or part of such a line.  Equations are always of the form

 How is the graph from the warm-up different than the graph of ?

 Domain: the possible x-values  Range: the possible y-values

 An indirect variation is a relation between two variables that have a constant product.  If one variable doubles, the other is cut in half.  Examples: ◦ The volume of a balloon and the pressure of the gas inside (at constant temperature). ◦ The length and width of a rectangle with an area of 80 square inches.

 Graphs are hyperbolas centered at the origin, or part of such a hyperbola.  Equations are always of the form

 Read Investigation 3B  Page 222 #7-11, 13  Page 232 #11,  Page 239 #8, 12, 14, 16  Page 241 #1-7

 Use the point-plotting method to graph each of the following equations. Graph each one on a separate Cartesian plane.

 What are the properties of the graphs of the functions from the warm-up?

 With your partner, write a description of each graph from the warm-up. ◦ Quick description (5 words or less)  Through which quadrant(s) does each graph pass?  What are the x- and y-intercepts of each graph (if they exist)?

 Read Investigation 3B  Page 222 #7-11, 13  Page 232 #11,  Page 239 #8, 12, 14, 16  Page 241 #1-7  Read Investigation 3C

 How does the absolute value graph change if y is the distance of x from 3 on the number line instead of the distance from zero?  Hint: Look at part f of yesterday’s warm-up.

 Pick up a packet. Silently read pages 1, 2, and the top of page 3.  Have your homework out for Mr. Szwast to check.

 With your partner, complete the graph match on the last 3 pages of the packet.  Use the graphing calculator for each one.  Switch who is using the calculator for each function.