math
Chapter 12 Graphing Homework Name_________________________________
1. College students Ann, Betsy, Cal, and Daniel took placement tests in
mathematics and in English. The following coordinate plane displays
their scores.
a. Estimate the coordinates of the plotted points to determine the
students’ test scores.
A _____________ B _____________
C _____________ D _____________
b. Which students scored higher in English than in mathematics?
2. A chemist conducts an experiment to measure the melting and boiling points of four substances, as indicated
in the following table:
On the coordinate plane shown, an x-value represents a
substance’s melting point and a y-value stands for its
boiling point, both in degrees Celsius.
a. Plot points for the four substances. Label each point
with the appropriate substance symbol.
b. For each point, which of its coordinates is larger—
the x-value or the y-value? In a complete sentence,
explain this pattern.
3. Meteorologists use the windchill index to determine the windchill
temperature (how cold it feels outside to humans) relative to the actual
temperature when the wind speed is considered. The following table
shows the actual temperatures in degrees Fahrenheit and the related
windchill temperatures when the wind speed is 5 mph:
a. Plot points (T, W) on the given coordinate plane.
b. For the plotted points, write a complete sentence to describe the pattern
that you observe.
4. A child walks away from a wall, stands still, and then approaches the wall. In a couple of sentences, explain
in detail in a complete sentence which of the graphs below could describe this motion.
5. The graph shows the temperature of a patient on a particular day.
Write a sentence to describe in detail the overall pattern you
observe in the patient’s temperature over the time period shown.
Also indicate the time period shown on the graph.
6. Calculate the slopes for each line shown.
Slope for pink line: __________________________
Slope for blue line: __________________________
7. Graph the line on the coordinate plane that passes through point (2, 5) and has slope m = –3
8. Answer the questions for each graph:
a. Is the slope positive, negative, zero, or undefined ?
b. Is the line is horizontal, vertical, or neither ?
a. Is the slope positive, negative, zero, or undefined ?
b. Is the line is horizontal, vertical, or neither ?
a. Is the slope positive, negative, zero, or undefined ?
b. Is the line is horizontal, vertical, or neither ?
a. Is the slope positive, negative, zero, or undefined ?
b. Is the line is horizontal, vertical, or neither ?
9. Two motorcyclists leave at the same time, racing down a
road. Consider the lines in the graph that show the distance
traveled by each motorcycle at various times.
a. Which motorcycle first travels 100 ft?
b. Which motorcycle is traveling more slowly?
c. Explain by writing a complete sentence what the slopes shown on the graph mean for the motorcycles.
10. Many day-care centers charge parents additional fees for arriving late to pick up their children.
The graph shows the late fee for two day-care centers:
a. Which day-care center charges a higher late fee?
b. Explain by writing a complete sentence what the slopes represent for late fees in this situation.