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Ideally, blood should flow smoothly through the arteries in our bodies. When there are problems, or as a natural part of aging, there is an increased amount of resistance to blood flow. Viscosity is a term used to describe the thickness or stickiness of the blood and is directly related to this resistance, as are the radius and the length of the artery through which the blood flows. The formula given above relates the radius (r) of an artery to the viscosity (k), resistance (R), and length (l) of that artery. Which of the following represents the viscosity in terms of the other variables?
2. Two muffins and a carton of milk cost $3.35. If five muffins and a carton of milk cost $5.60, what is the cost of two cartons of milk?
The calculator screenshot above shows the x- and y-values for the first few data points shown in the scatterplot, which can be modeled using an exponential function. Which of the following scenarios could be represented by this function?
The graph of the function f(x) = –x 2 – 2x + 8 is shown in the figure above. For what values of x does f(x) = 5?
The pie chart above shows the distribution of registered voters in a certain district in Illinois by party and by age. If there are 8,640 voters in the district, what is the ratio of Republicans to Independents?
6. A DVD rental kiosk dispenses movies for $1 for a 24-hour rental. After the initial rental period has expired, customers are charged a $0.50 late fee for every 24 hours that the movie is returned late. If a customer rents four movies at one time, which of the following graphs represents the total possible charges in late fees, assuming he returns all the movies together?
7. There are many ways to defrost a turkey. One way is to let it thaw slowly in the refrigerator, at a thaw rate of about 4 pounds per day. Another way is to submerge the turkey in cold water, which thaws it at a rate of 1 pound per 30 minutes. Approximately how many more ounces of turkey can the cold-water method thaw in 2 hours than the refrigerator method? (1 pound = 16 ounces)
8. A freight train operator knows that on a 200-mile trip, if the freight cars are not fully loaded, she can save 1 hour of travel time by increasing her normal speed by 10 miles per hour. What is her normal speed in miles per hour?
9. A cable company offers movie rental packages. If you join the Movie Fan club, you get 10 movies for $20 and each movie after that costs $2.50. If you join the Movie Super Fan club, you get unlimited movies for a year for $75. How many movies would a person need to rent for each package to cost the same amount over a one-year period?
10. Many wholesale businesses charge customers less per item when they buy those items in bulk. Suppose a baseball cap distributor charges $6 per cap for the first 25 caps the customer purchases, $5 per cap for the next 75 purchased, and $4 per cap for all additional caps over 100. Which of the following piecewise functions represents this scenario, where C represents the total cost and n represents the number of caps purchased?
11. The decline of a certain animal species' population, currently estimated to be 22,000, can be modeled by the quadratic function p(x) = –0.5x2 + 22,000, where x is the number of years after 2015. Based on only this information, and assuming no intervention to change the path of the population, which of the following statements must be true?
12. In geology, the water table is the level below which the ground is saturated with water. Wells must be dug below this point to bring water up into the well. Except in cases of severe flooding, the water level in a well does not rise above the water table. Suppose a cylindrical well is 6 feet wide and 60 feet deep in an area where the water table is 40 feet below ground level. Assuming no unusual circumstances, what is the volume in cubic feet of the water in the well at any given time?
13. Ramon graphed a line that has a slope of –2. The line he graphed passes through the point (3, 5). If Ramon doubles the slope of his line and then shifts it down 1 unit, through which point will the line pass?
Earthquakes occur when energy is released from deep inside the earth, causing friction between the tectonic plates of the earth's crust. The magnitude, or intensity, of the earthquake is measured on the Richter scale. The scatterplot above shows the earthquakes experienced by California between December 2003 and December 2010. The line of best fit, which has a slope of 0, is a fairly good indicator in California. Approximately what percent of the earthquakes in California during this time period differed by 1 point or more on the Richter scale from the magnitude predicted by the line of best fit?
15. If the equation has solutions x1 and x2, what is the product of x1 and x2?
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