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Determining Variation In Exercises 35-38, determine whether the variation model represented by the ordered pairs
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- Determining Variation In Exercises 35-38, determine whether the variation model represented by the ordered pairs (x,y) is of the form y=kx or y=k/x, and find k. Then write a model that relates y and x. (5,1),10,12,15,13,20,14,25,15arrow_forwardSports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter freestyle in the Olympics from 1984 through 2012. 1984,55.92 2000,53.83 1988,54.93 2004,53.84 1992,54.64 2008,53.12 1996,54.50 2012,53.00 (a) Sketch a scatter plot of the data. Let y represent the winning time (in seconds) and let t=84 represent 1984. (b) Sketch the line that you think best approximates the data and find an equation of the line. (c) Use the regression feature of a graphing utility to find the equation of the least squares regression line that fits the data. (d) Compare the linear model you found in part (b) with the linear model you found in part (c).arrow_forwardPharmacology The percent p of prescriptions filled with generic drugs at CVS Pharmacies from 2008 through 2014 (see figure) can be approximated by the model pt=2.77t+45.2,8t111.95t+55.9,12t14 where t represents the year, with t=8 corresponding to 2008. Use this model to find the percent of prescriptions filled with generic drugs in each year from 2008 through 2014.arrow_forward
- Market supply The following table shows the quantity S of wheat, in billions of bushels, that wheat supplies are willing to produce in a year and offer for sale at a price P, in dollars per bushel. S = quantity of wheat P = price 1.0 1.35 1.5 2.40 2.0 3.45 2.5 4.50 In economics, it is customary to plot S on the horizontal axis and P on the vertical axis, so we will think of S as a variable and of P as a function of S. a. Show that these data can be modeled by a linear function, and find its formula. b. Make a graph of the linear formula you found in part a. This is called the market supply curve. c. Explain why the market supply curve should be increasing. Hint: Think about what should happen when the price increases. d. How much wheat would suppliers be willing to produce in a year and offer for sale at a price of 3.90 per bushel?arrow_forwardUse a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forwardNUMBER OF SQUARES ist 2nd 3rd Figure Number 1 2 3 4 8 10 PATTERN 1. Make a data table of the visual pattern. 2. Make a graph of the visual pattern. 3. Write an equation to represent the number of squares in the nth term of the visual pattern. Number of Squares FIGURE NUMBERarrow_forward
- Let s be a person's annual salary (in thousands of dollars) after she has worked for t years at a company. Some pairs of values of t and s are shown in the table below. t (years) 0 1 3 6 s (thousands of dollars) 54 57 63 72 a) Create a scattergram of the data. b) Draw in a linear model on the same grid. c) Use your graph to estimate when the person's salary will be $66 thousand. (Show your work on the graph.) d) What is the s-intercept of the model? Interpret it in terms of this application.arrow_forwardPlease help me answer g and h with complete solutionarrow_forward(Q.9) Mastery Assess It 3 - Question is in the photo privided below.arrow_forward
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