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Concept explainers
a.
To find the true statements from the following statements
A. The graph is linear.
B. The graph is nonlinear.
C. The function is increasing.
D. The function is decreasing.
E. The function is neither increasing nor decreasing.
F. The function is positive.
G. The function is negative.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 68PFA
A D G
Explanation of Solution
Given:
The graph below shows the height of a candle.
A. The graph is linear.
B. The graph is nonlinear.
C. The function is increasing.
D. The function is decreasing.
E. The function is neither increasing nor decreasing.
F. The function is positive.
G. The function is negative.
The given graph is linear. Since the curve is a straight line.
When a candle burns the size of the candle keeps on decreasing. So, the function is decreasing.
Also, the function is negative since the candle is melting and the curve is a decreasing curve.
b.
To find: the x intercept.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 68PFA
Explanation of Solution
Given:
The graph below shows the height of a candle
On closely examining the graph the y intercept starts increasing at
c.
To find: the y intercept.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 68PFA
Explanation of Solution
Given:
The graph below shows the height of a candle.
On closely examining the graph the y intercept starts decreasing at
d.
To explain: the intercepts representation.
d.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
The graph below shows the height of a candle.
The graph is decreasing and the intercepts of y are decreasing while x intercepts are increasing.
e.
To find: the time that the candle has been burning.
e.
![Check Mark](/static/check-mark.png)
Answer to Problem 68PFA
5hours 30 minutes
Explanation of Solution
Given:
Height of the candle: 8 centimeters
Calculation:
The height of the candle is inversely proportional to the time taken.
Therefore,
When the height of the candle decreases, the time taken increases.
Slope,
Therefore, the height of the candle decreases by 3cm every minute.
Totally, the candle takes 8 minutes.
Therefore, the candle takes 5 hours 30 minutes to burn.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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