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.