
Concept explainers
a.
Copy and complete the table. Remember that the rate of change is the change in y divided by the change in x .
a.

Answer to Problem 37PPS
Explanation of Solution
Given: EARTHQUAKES The Richter scale is used to measure the force of an earthquake. The table shows the increase in magnitude for the values on the Richter scale.
Calculation:
Complete table is given below:
b.
Plot the ordered pairs (Richter number, Increase in magnitude)
b.

Answer to Problem 37PPS
Ordered pairs of the form (Richter number, increase in magnitude) are, (1,1),(2,10),(3,100),(4,1000) and (5,10000).
Explanation of Solution
Given: The Richter scale is used to measure the force of an earthquake. The table shows the increase in magnitude for the values on the Richter scale.
Calculation:
From the table , the ordered pairs of the form (Richter number, increase in magnitude) are, (1,1),(2,10),(3,100),(4,1000) and (5,10000).Plot these points.
c.
Describe the graph that you made of the Richter scale data. Is the rate of change between any two points the same?
c.

Answer to Problem 37PPS
The graph is exponential.
The rate of change between any two points is not the same.
Explanation of Solution
Given: The Richter scale is used to measure the force of an earthquake. The table shows the increase in magnitude for the values on the Richter scale.
Calculation:
The graph appears to be exponential since the y -value appears to be increasing by a constant factor .Since
Conclusion:
The graph is exponential.
The rate of change between any two points is not the same.
d.
Write an exponential equation that represents the Richter scale.
d.

Answer to Problem 37PPS
Explanation of Solution
Given: The Richter scale is used to measure the force of an earthquake. The table shows the increase in magnitude for the values on the Richter scale.
Calculation:
Since the y -values are increasing by a constant factor of 10, the graph can be modeled by a geometric sequence. The exponential function is then of the form
Conclusion:
Chapter 7 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Additional Math Textbook Solutions
Pre-Algebra Student Edition
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