Review the following concepts if needed:

**How Variables Relate Practice Test**

A good score is eight correct. Answers are at the end of the article.

1 . Suppose a graph is drawn showing temperature in degrees Celsius (°C) as a function of time for a 24-hour day. The temperature measurements are accurate to within 0.1 °C, and the readings are taken every 15 minutes. The day’s highest temperature is +23.8 °C at 3:45 P.M. The day’s lowest temperature is +13.5 °C at 5:30 A.M. A reasonable range for the temperature scale in this graph is

(a) 0.0 °C to +100.0 °C

(b) –100.0°C to +100.0 °C

(c) +15.0 °C to +20.0 °C

(d) +10.0 °C to +30.0 °C

**Fig. 2-17.** Illustration for Quiz Questions 3 through 6.

2 . In a constant function:

(a) the value of the dependent variable constantly increases as the value of the independent variable increases

(b) the value of the dependent variable constantly decreases as the value of the independent variable increases

(c) the value of the independent variable does not change

(d) the value of the dependent variable does not change

3 . In Fig. 2-17 , which of the curves represents *y* as a function of *x* ?

(a) Curve A only.

(b) Curve B only.

(c) Both curves A and B.

(d) Neither curve A nor curve B.

4 . In Fig. 2-17 , which of the curves represents *x* as a function of *y* ?

(a) Curve A only.

(b) Curve B only.

(c) Both curves A and B.

(d) Neither curve A nor curve B.

5 . In Fig. 2-17 , which of the curves represents a relation between *x* and *y* ?

(a) Curve A only.

(b) Curve B only.

(c) Both curves A and B.

(d) Neither curve A nor curve B.

6 . In Fig. 2-17 , which of the curves can represent a constant function of one variable versus the other?

(a) Curve A only.

(b) Curve B only.

(c) Both curves A and B.

(d) Neither curve A nor curve B.

7 . It is reasonable to suppose that the number of traffic accidents per year on a given section of highway is positively correlated with

(a) the number of cars that use the highway

(b) the number of sunny days in the year

(c) the number of alternative routes available

(d) the number of police officers that use the highway

8 . Suppose a large data file is downloaded from the Internet. The speed of the data, in bits per second (bps), is plotted as a function of time in seconds. In this situation, time is

(a) a dependent variable

(b) an independent variable

(c) a constant function

(d) nondecreasing

9 . Suppose the path of a hurricane is plotted as a curve on a map, with the latitude and longitude lines as graphic coordinates. A prediction of the future path of the storm can be attempted using

(a) interpolation

(b) extrapolation

(c) curve fitting

(d) correlation

10 . Suppose the path of a hurricane is plotted as a series of points on a map, representing the position of the storm at 6-hour intervals. A continuous graph of the storm’s path can be best approximated using

(a) a bar graph

(b) extrapolation

(c) curve fitting

(d) correlation

**Answers**

- d
- d
- a
- a
- c
- d
- a
- b
- b
- c

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