Concept explainers
Modeling Data The table shows the populations y (in millions) of the United States for 2009 through 2014. The variable t represents the time in years, with
t | 9 | 10 | 11 | 12 | 13 | 14 |
y | 307.0 | 309.3 | 311.7 | 314.1 | 316.5 | 318.9 |
|(a) Plot the data by hand and connect adjacent points with a line segment. Use the slope of each line segment to determine the year when the population increased least rapidly.
(b) Find the average rate of change of the population of the United States from 2009 through 2014.
(c) Use the average rate of change of the population to predict the population of the United States in 2025.
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Student Solutions Manual For Larson/edwards' Calculus Of A Single Variable: Early Transcendental Functions, 2nd
- Using your graphing calculator, make a scatter plot of the data from the table. Then graph your model from Question 2 along with the data. How well does your model fit the data? What could you do to try to improve your model?arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forward
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