Concept explainers
In Exercises 49–54, assume that a constant rate of change exists for each model formed.
Disney Revenue. The following table lists data regarding revenue from the Disney parks and resorts in 2010 and in 2016.
YEAR, x (in number of years after 2010) |
REVENUE FROM PARKS AND RESORTS (in billions of dollars) |
2010, 0 |
$10.667 |
2016, 6 |
16.974 |
Data: The Disney Company |
a. Use the two data points to find a linear function that fits the data. Let
b. Use the function of part (a) to estimate the revenue in 2014 and to predict the revenue in 2021.
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Intermediate Algebra (13th Edition)
- U.S. Population The number of White non-Hispanicindividuals in the U.S. civilian non-institutional population 16 years and older was 153.1 million in 2000and is projected to be 169.4 million in 2050.(Source: U.S. Census Bureau)a. Find the average annual rate of change in population during the period 2000–2050, with the appropriate units.b. Use the slope from part (a) and the population in2000 to write the equation of the line associatedwith 2000 and 2050.c. What does this model project the population to bein 2020?arrow_forwardWorld Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011). †A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below. 1: 1,800 billion dollars 2: 1,775 billion dollars 3: 1,750 billion dollars 4: 1,730 billion dollars 5: 1,760 billion dollars 6: 1,760 billion dollars 7: 1,850 billion dollars 8: 1,900 billion dollars 9: 1,950 billion dollars 10: 1,980 billion dollars (a) If you want to model the expenditure figures with a function of the form f(t) = at2 + bt + c, would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.] We would expect the coefficient to be positive because the curve is concave up. We would expect the coefficient to be negative because the…arrow_forwardIn Exercises 61–64, find an equation for the level surface of the function through the given point.arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage