Chapter 7, Problem 37RE

The rate of increase of the number of working married couples M (in millions) in the United States from 2008 through 2014 can be modeled bydM = 0.0918t2 − 1.988t + 10.28 dtwhere t is the time in years, with t = 8 corresponding to 2008. The number of working married couples in 2014 was 31.7 million. (Source: U.S. Census Bureau)(a) Find the model for the number of working married couples in the United States.(b) Use the model to predict the number of working married couples in the United States in 2019. Does your answer seem reasonable? Explain your reasoning

A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010. H =     What is the expected height (in ft) of the red maple in 2020? ft

The population of a town has been growing linearly since 2000. The population t years since 2000 can be modeled by P(t)=0.12t+2.1, where P is measured in thousands of people. What is the approximate population of the town today, 2023?