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 by dM = 0.0918t2 − 1.988t + 10.28 dt where 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

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.