Page 133 - Algebra 1
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CostofPecans Customersatalocalgrocerystorepay$3.00perpoundfor pecans. They can purchase the pecans in fractions of a pound.
2. Justify Should the graph representing this situation display negative values for pounds of pecans? Explain.
3. Estimate What is a reasonable maximum number of pounds to graph?
4. What is the cost of purchasing 1 pound of pecans? 4.5 pounds?
5. Draw a graph to represent the situation.
The cost-per-pound data modeled in the graph are continuous. Continuous data are data where numbers between any two data values have meaning. A graph of this data is drawn with a solid line. A continuous graph is a graph that has no gaps, jumps, or asymptotes.
Data that involve a count of items, such as a number of people, are called discrete data. A discrete graph is made up of separate, disconnected points determined by a set of discrete data.
Photography Asheetofphotosatanautomaticphotoboothcosts$5. Patrons may purchase only full sheets of photos. The photo booth can print up to 10 sheets per patron.
6. Predict What will the graph look like?
7. What is the least number of photo sheets for purchase? The greatest
number of sheets?
8. Draw a graph that represents the situation.
9. Write Use the graph to describe Maura’s hike on Windy Hill. In the description, use the phrases increasing, no change, and decreasing.
Windy Hill Hike
Time
A graph represents the relationship between two quantities. The “Windy Hill Hike” graph shows the relationship between a hiker’s time and altitude.
10. Analyze Describe another set of data that could be related to the hiker’s time.
Many quantities can be measured and compared, such as a plane’s traveling speed and its altitude.
Math Reasoning
Analyze Identify
the dependent and independent variables. Explain
Caution
The phrases increasing, no change, and decreasing describe the elevation of the hiker, not the speed.
Air Travel A commercial airplane travels at 600 miles per hour and typically flies at a height of about 6 miles. The graph shows the flight time and the altitude of an airplane.
11. What is the plane’s altitude at the beginning and end of its 6-hour trip? Explain.
6 4 2
Plane’s Altitude
0 1 2 3 4 5 Time (hr)
118 Saxon Algebra 1
Altitude (mi)
Elevation