Exam 1: Linear Functions

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Find the slope of the line passing through the given pair of points. - (9,4) (-9,-4) and (9,9) (-9,-9)

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Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $480 per day. If the company charges $6.10 per package, how many Packages must be delivered daily to make a profit of $75?

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Find the slope of the line passing through the given pair of points. (-5, -8)and (8, -8)143)

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Find an equation in slope-intercept form (where possible) for the line. -Through (6, 8), perpendicular to x = 7

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Find an equation in slope-intercept form (where possible) for the line. -Through (0,3),m=23 (0,3), \mathrm{m}=\frac{2}{3}

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Find an equation in slope-intercept form (where possible) for the line. -Through (5,0),m=1 (5,0), m=-1

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Graph the equation. 3x + 6y = 10 Graph the equation. 3x + 6y = 10

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Let the supply and demand functions for a certain model of electric pencil sharpener be given by p=S(q)=23q p=S(q)=\frac{2}{3} q \quad and p=D(q)=1223q p=D(q)=12-\frac{2}{3} q where p is the price in dollars and q is the quantity of pencil sharpeners (in hundreds). Graph these functions on the same axes (graph the supply function as a dashed line and the demand function as A solid line). Also, find the equilibrium quantity and the equilibrium price.  Let the supply and demand functions for a certain model of electric pencil sharpener be given by   p=S(q)=\frac{2}{3} q \quad   and   p=D(q)=12-\frac{2}{3} q   where p is the price in dollars and q is the quantity of pencil sharpeners (in hundreds). Graph these functions on the same axes (graph the supply function as a dashed line and the demand function as A solid line). Also, find the equilibrium quantity and the equilibrium price.

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Solve the problem. -The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands). Use the equation of the least squares line to predict the number of Products sold if the cost of advertising is $6000. Solve the problem. -The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands). Use the equation of the least squares line to predict the number of Products sold if the cost of advertising is $6000.

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Evaluate the function as indicated. -Find g(a1) g(a-1) when g(x)=3x2 g(x)=3 x-2

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Find the correlation coefficient. -Consider the data points with the following coordinates: Find the correlation coefficient. -Consider the data points with the following coordinates:

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Find the equation of the least squares line. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Find the equation of the least squares line. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

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Find an equation in slope-intercept form (where possible) for the line. -The line with x-intercept -8 and perpendicular to 4x - y = -6

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Find the slope of the line. y = 8x - 4

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Find an equation in slope-intercept form (where possible) for the line. -Through (3,8) (3,-8) and (1,21) (1,-21)

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Graph the equation. -For the following table of data, a. Draw a scatterplot. B. Calculate the correlation coefficient. C. Calculate the least squares line and graph it on the scatterplot. D. Predict the y-value when x is 20. Graph the equation. -For the following table of data, a. Draw a scatterplot. B. Calculate the correlation coefficient. C. Calculate the least squares line and graph it on the scatterplot. D. Predict the y-value when x is 20.

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Let the demand and supply functions be represented by D(p)and S(p), where p is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions. ()=5760-50 ()=250-1440

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Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters): Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

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Graph the equation. -2y - 7x = 4 Graph the equation. -2y - 7x = 4

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