The following table shows the number of science research articles authored by U.S. researchers during the period 1980-2010. Year t 5 10| 15| 20 30 (year since 1980) Articles N(t) (thousands) 170 200 220 260 252 290 340 (a) Find the interval(s) over which the average rate of change of N was the greatest. (Select all that apply.) O 2005-2010 O 1995-2000 O 1980-2010 O 2000-2010 O 1990-1995 O 1980-2010 What was that rate of change? articles per year Interpret your answer. O During this period, the number of articles authored by U.S. researchers increased the most. O During this period, the number of articles authored by U.S. researchers decreased the most. (b) The percentage change of N over the interval [a, b] is defined to be Percentage change of N = Change in N - N(b) - N(a) First value N(a) Compute the percentage change of N over the interval [0, 30] and also the average rate of change. (Round your answers to the nearest whole number.) percentage change of N % average rate of change articles per year Interpret the answers. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers decreased at an average rate of about 6 thousand articles per year, representing a 100 percent increase over that period. O Over the period 1980-2010, the number of articles authored by U.S. researchers increased at an average rate of about 10 thousand articles per year, representing a 60 percent increase over that period.
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.
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