1.What are the practical usages of scientific notation? Why is scientific notation so important in our modern day society? What would be the value of expressing something like the national debt in scientific notation? What information would be lost in such a usage? Is that important? Explain why or why not.
2. Section 8.2, problem 103 (Solid Waste) Please show your work.
Solid Waste In 1960, the average American disposed of 2.7 pounds of garbage per day, whereas in 2003 this amount was 4.3 pounds per day. (Source: Environmental Protection Agency.)
(a) Find a linear function f that calculates the amount of garbage disposed of by a person in 1960 after x days. Find and interpret the result.
(b) Repeat part (a) for 2003 with a linear function g.
3. Section 3.2, problem 69 (U.S. Population) Please show your work.
U.S. Population For the years 2010 to 2050, the projected percentage P of the U.S. population that will be over the age of 65 during year t is estimated by (Source: U.S. Census Bureau.) P=0.178t-344.6
(a) Complete the table. Round values to the nearest tenth.
t 2010 2020 2030 2040 2050
P ____ ____ ____ ____ ____
(b) Use the table to find the year when the percentage of the population over the age of 65 is expected to reach 16.7%.
4. Section 3.4, problem 95 (Two-Cycle Engines) Please show your work.
Two-Cycle Engines Two-cycle engines used in jet skis, snowmobiles, chain saws, and outboard motors require a mixture of gas and oil to run properly. For certain engines the gallons of oil O that should be added to G gallons of gasoline is given by O=(1/50)G. (Source: Johnson Outboard Motor Company.)
(a) How many gallons of oil should be added to 50 gallons of gasoline and to 100 gallons of gasoline?
(b) Find the slope of the graph of the equation.
(c) Interpret the slope as a rate of change.
