Concept explainers
Age at First Marriage The table that follows shows the U.S. median age at first marriage for men and women for selected years from 1900 to 2015.
Median Age at First Marriage
(Source: U.S. Census Bureau)
Using these data, the ratio of age at first marriage for women to age at first marriage for men can be modeled by where x is the number of years after 1900.
- a. Graph the function on a window representing the years from 1900 to 2020.
- b. What is the predicted ratio of women’s age to men’s age at first marriage in 2020, according to the model?
- c. Evaluate the function for large values of x to determine whether the function continues to increase indefinitely.
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- DVD Player sales The table shows the number of DVD play-ers sold in a small electronics store in the years 2003-2013. What was the average rate of change of sales between 2003 and 2013? Whatwas the average rate of change of sales between 2003 and 2004? What was the average rate of change of sales between 2004 and 2005? Between which two successive years did DVD player sales increase most quickly?arrow_forwardPlanetary Velocity The following table gives the mean velocity of planets in their orbits versus their mean distance from the sun. Note that 1AU astronomical unit is the mean distance from Earth to the sun, abut 93 million miles. Planet d=distance AU v=velocity km/sec Mercury 0.39 47.4 Venus 0.72 35.0 Earth 1.00 29.8 Mars 1.52 24.1 Jupiter 5.20 13.1 Saturn 9.58 9.7 Uranus 19.20 6.8 Neptune 30.05 5.4 Astronomers tell us that it is reasonable to model these data with a power function. a Use power regression to express velocity as a power function of distance from the sun. b Plot the data along with the regression equation. c An asteroid orbits at a mean distance of 3AU from the sun. According to the power model you found in part a, what is the mean orbital velocity of the asteroid?arrow_forwardHeart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in one year to 221 in the next year. What percentage decrease in deaths due to heart disease does this represent?arrow_forward
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