Plot the indicated graphs. The number of cell phone...

Plot the indicated graphs. The number of cell phone subscribers in the United States from 1994 to 2015 is shown in the following table. Plot $N$ as a function of the year on semilog paper. $$\begin{array}{l|l|l|l|l|l|l|l|l}\text { Year } & 1994 & 1997 & 2000 & 2003 & 2006 & 2009 & 2012 & 2015 \\\hline N\left(\times 10^{6}\right) & 24.1 & 55.3 & 109 & 159 & 233 & 275 & 300 & 359 \end{array}$$

Plot the indicated graphs.
The number of cell phone subscribers in the United States from 1994 to 2015 is shown in the following table. Plot $N$ as a function of the year on semilog paper.
$$\begin{array}{l|l|l|l|l|l|l|l|l}\text { Year } & 1994 & 1997 & 2000 & 2003 & 2006 & 2009 & 2012 & 2015 \\\hline N\left(\times 10^{6}\right) & 24.1 & 55.3 & 109 & 159 & 233 & 275 & 300 & 359 \end{array}$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Semilog Graph

A semilog graph is a plotting method where one axis (typically the vertical axis) uses a logarithmic scale while the other axis uses a linear scale. This approach is particularly useful for visualizing data that covers several orders of magnitude or exhibits exponential trends, as it transforms an exponential curve into a straight line.

Exponential Growth

Exponential growth occurs when a quantity increases by a constant percentage over equal time intervals, leading to a rapid upward trajectory. In a semilog plot, exponential growth appears as a straight line, making it easier to analyze the rate of change and compare trends over time.

Data Visualization and Scaling

Data visualization is the practice of representing data in graphical formats to uncover trends and patterns. Appropriate scaling, such as using a logarithmic scale on one axis, is crucial when the data spans a wide range of values, as it can enhance clarity and enable easier detection of underlying patterns.

Transcript

Please give Ace some feedback