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Chapter 1: Problem 9
Determine the quadrant(s) in which \((x, y)\) is Iocated so that the condition(s) is (are) satisfied. \(x>0\) and \(y<0\)
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For groups of 80 or more people, a charter bus company determines the rate per person according to the formula Rate \(=8-0.05(n-80), \quad n \geq 80\) where the rate is given in dollars and \(n\) is the number of people. (a) Write the revenue \(R\) for the bus company as a function of \(n\) (b) Use the function in part (a) to complete the table. What can you conclude? $$\begin{array}{|l|l|l|l|l|l|l|l|}\hline n & 90 & 100 & 110 & 120 & 130 & 140 & 150 \\\\\hline R(n) & & & & & & & \\\\\hline\end{array}$$
Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring. A force of 220 newtons stretches a spring 0.12 meter. What force is required to stretch the spring 0.16 meter?
Use a graphing utility to graph the function. Be sure to choose an appropriate viewing window. $$f(x)=2.5 x-4.25$$
The percents \(p\) of prescriptions filled with generic drugs in the United States from 2004 through 2010 (see figure) can be approximated by the model \(p(t)=\left\\{\begin{array}{ll}4.57 t+27.3, & 4 \leq t \leq 7 \\ 3.35 t+37.6, & 8 \leq t \leq 10\end{array}\right.\) where \(t\) represents the year, with \(t=4\) corresponding to \(2004 .\) Use this model to find the percent of prescriptions filled with generic drugs in each year from 2004 through \(2010 .\) (Source: National Association of Chain Drug Stores) (GRAPH CAN'T COPY)
Find a mathematical model that represents the statement. (Determine the constant of proportionality.) Use the fact that 13 inches is approximately the same length as 33 centimeters to find a mathematical model that relates centimeters \(y\) to inches \(x\). Then use the model to find the numbers of centimeters in 10 inches and 20 inches.
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