Concept explainers
(a)
To match: the situation “the temperature of a bowl of soup as a function of time” with its graph.
(a)
Answer to Problem 40AYU
The best match is (II)
Explanation of Solution
Given information:
Given graphs are
Calculation:
The temperature of a bowl of soup decreases nonlinearly with time. The best match is (II)
(b)
To match: the situation “The number of hours of daylight per day over a 2 year period” with its graph.
(b)
Answer to Problem 40AYU
The best match is (V).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The number of hours of daylight per day is periodically changing between a maximum and minimum value with time. That is the function is periodic. The best match is (V).
(c)
To match: the situation “the population of Florida as a function of time” with its graph.
(c)
Answer to Problem 40AYU
The best match is (IV).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The population of Florida increases nonlinearly with time. The best match is (IV).
(d)
To match: the situation “the distance traveled by a car going at a constant velocity as a function of time” with its graph.
(d)
Answer to Problem 40AYU
The best match is (III).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The distance travelled by a car going at a constant velocity increases linearly with time. The best match is (III).
(e)
To match: the situation “the height of a golf ball hit with a 7 iron as a function of time” with its graph.
(e)
Answer to Problem 40AYU
The best match is (I)
Explanation of Solution
Given information:
Given graphs are
Calculation:
The height vs. time graph of a golf ball projected with a 7 iron is a parabola. The height increases with time reaches a maximum value and then decreases. The best match is (I)
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
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