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Problem 39

Solve and write interval notation for the solution set. Then graph the solution set. $$2 x-20<-0.8 \text { or } 2 x-20>0.8$$

Problem 41

Price of a World Series Ticket. In \(1946,\) the lowest price of a World Series ticket was \(\$ 1.20 .\) By 2012 , the lowest price of a ticket had increased to \(\$ 110 .\) (Source: AARP.com) Find the average rate of change in the lowest price of a World Series ticket from 1946 to 2012

Problem 42

2\. Population Loss. The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the 23-year period.

Problem 45

Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. $$(-7,0), y=-0.3 x+4.3$$

Problem 45

Samantha has a choice between receiving either a monthly salary of \(\$ 1800\) from Furniture by Design or a base salary of \(\$ 1600\) and a \(4 \%\) commission on the amount of furniture that she sells during the month. For what amount of sales will the two choices be equal?

Problem 48

The population density in China is 365.3 persons per square mile. The population density in the United States is approximately one-fourth of the density in China. (Source: The World Almanac 2014 ) Find the population density in the United States.

Problem 50

Karen can be paid in one of two ways for selling insurance policies: Plan A: A salary of \(\$ 750\) per month, plus a commission of \(10 \%\) of sales; Plan B: A salary of \(\$ 1000\) per month, plus a commission of \(8 \%\) of sales in excess \(\text { of } \$ 2000\) For what amount of monthly sales is plan A better than plan \(\mathrm{B}\) if we can assume that sales are always more than \(\$ 2000 ?\)

Problem 51

Morgan's Seeds has a rectangular test plot with a perimeter of \(322 \mathrm{m}\). The length is \(25 \mathrm{m}\) more than the width. Find the dimensions of the plot.

Problem 52

Determine whether the statement is true or false. The lines \(y=2 x-3\) and \(y=-2 x-3\) are perpendicular.

Problem 53

An airplane that travels \(450 \mathrm{mph}\) in still air encounters a 30 -mph headwind. How long will it take the plane to travel 1050 mi into the wind?

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