B(x) = -2.6x? + 49x + 3994 D(x) = -0.6x2 + 7x + 2412 Number of births, B(x), in thousands, x years after 2000 Number of deaths, D(x), in thousands, x years after 2000 Snip Number of Births and Deaths in the United States Births Deaths 4400- 4266 4315 4247 4090 4112 4138 4136 4059 4026 4022 3999 4100 3954 3800 3500- 3200 2900 2600 2416 2443 2448 2426 2453 2468 2515 2403 2398 2448 2415 2426 2300 2000 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 Year Number (thousands)
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.
a. Write a function that models the total number of births and deaths in the United States for the years from 2000 through 2011.
b. Use the function from part (a) to find the total number of births and
deaths in the United States in 2003.
c. Does the result in part (b) overestimate or underestimate the actual number of total births and deaths in 2003 obtained from the data in
Figure? By how much?
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