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Concept explainers
(a)
To match: the situation “the cost of building a house as a function of its square footage” with its graph.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 39AYU
The only linear function among given functions is (III).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The cost of building a house increases linearly with its square footage. The only linear function among given functions is (III).
(b)
To match: the situation “the height of an egg dropped from a 300 foot building as a function of time” with its graph.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 39AYU
The height decreases with time. The best match is (IV).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The height of an egg dropped from the building as function of time is a parabola. The height decreases with time. The best match is (IV).
(c)
To match: the situation “the height of a human as a function of time” with its graph.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 39AYU
The best match is (I).
Explanation of Solution
Given information:
Given graphs are
Calculation:
The height of a human linearly increases with time, and saturates after a certain age. The best match is (I).
(d)
To match: the situation “the demand for big Macs as a function of price” with its graph.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 39AYU
The best match is (V)
Explanation of Solution
Given information:
Given graphs are
Calculation:
The demand vs. price is inversely proportional. The demand decreases with price. The best match is (V)
(e)
To match: the situation “The height of a child on a swing as a function of time” with its graph.
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 39AYU
The best match is (II)
Explanation of Solution
Given information:
Given graphs are
Calculation:
The height of a child in a swing is periodically changing between a maximum and minimum value with time. That is the function is periodic. The best match is (II)
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus: Early Transcendentals (3rd Edition)
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