To find an exponential function that represents real world situation, graph the function, explain the situation modeled by exponential function than a linear function.
Explanation of Solution
Let us consider a real world situation.
The increase in the number of smartphone users be represented by
Calculation for Graph:
Make a table representing the time in years and the number of smartphone users in the particular time.
x | y | |
1 | 100 | |
2 | 10000 | |
3 | 1000000 | |
4 | 100000000 |
By adding different values to x and plotting the graph,
Graph:
Inference:
The y- intercept of the graph is 1. The graph increases rapidly for all x > 0. The domain of the graph is
Conclusion:
Therefore, when this model is an exponential model, each year the number of users gets rapidly increased. If the model was a linear model, there would be only a fixed number of smartphone users in each year.
Chapter 7 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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