The following data represents the cost of manufacturing a particular toy. The number oftoys manufactured s represented by x in dollars and the cost is represented by C(x). Thepoints when plotted on a graph will fit a parabolic model. Graph the data and draw a bestfit curve. Then find the approximate number of toys that should be manufactured tominimize the cost.X100150250350500C(x)60004000200010602400Use the paperclip button below to attach files.* Student can enter max 3000 charactersXD G BI U2=S2-O

x C(x) 100 6000 150 4000 250 2000 350 1060 500 2400

Answered: The following data represents the cost…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Crude Oil The U.S. crude oil production, in billionsof barrels, was 1.94 in the year 2010 and is projectedto be 2.26 in 2030.a. Find the projected average rate of change inproduction from 2010 through 2030.b. Use the rate of change from part (a) and the pointcorresponding to 2010 to write the equation of theline that joins the points (2010, 1.94) and (2030,2.26), with x equal to the year 2010 and y equal tothe number of billions of barrels of crude oil.(Source: U.S. Energy Information Administration)
A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water. x from x = 1 to x = 1. The trough is full of water. Find the amount of work in 2 ft 1ft y = x8 foot-pounds US V O CO %23
Find slope and y intercept from top and bottom
%3D 2. What is the maximum or minimum point for the curve = 4x-x" ?
The rate at which a professional tennis player used carbohydrates during a strenuous workout was found to be 1.6 grams per minute. If a line were graphed showing time (in minutes) on the horizontal axis and carbohydrates used (in grams) on the vertical axis, what would be the slope of the line? many carbohydrates (in grams) would the athlete use in 40 minutes? grams
The scatter plot shows the time spent studying, x, and the quiz score, y, for each of 23 students. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the quiz score for a student who spent 70 minutes studying. Note that you can use the graphing tools to help you approximate the line. y 100 90- So (a) Write an approximate equation of the line of best fit. 70 y = Quiz score 60 50 (b) Using your equation from part (a), predict the quiz 40 score for a student who spent 70 minutes studying. 30- 20- 10- 10 20 30 40 50 60 70 80 90 100 Time spent studying (in minutes)
The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 24 cashiers in California. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the hourly pay rate for a cashier with 10 years of experience. Note that you can use the graphing tools to help you approximate the line. y 22- 20+ 18- (a) Write an approximate equation of the line of best fit. 16- y = ] 14+ Pay 12+ in dollars X x X (b) Using your equation from part (a), predict the hourly pay rate for a cashier with 10 years of experience. 10 per hour 8- 6+ 4+ 2+ + 2 4 6 8 10 12 14 16 18 20 22 Years of experience
Consider an axisymmetric feeding bowl as shown on the left below. Its cross-section is shown on the right with the axis of symmetry aligned along the y-axis. The top curve of the cross-section is given by the function b. What is the capacity of this bowl? Capacity= cm³ c. Find the volume of water inside the bowl if the water level is 3.3 cm measured from the bottom. Volume of water = 1 961 y = C 961 The horizontal base joins the endpoints of the top curve. Both x and y are in cm. You may need to use a computer algebra system to solve some of the following problems. Round all your answers to at least 3 significant figures. a. Assume that the bowl is solid and is made with plastic. Find the amount of plastic (as a volume) required to make this bowl. Amount of plastic = cm³ cm3 -x4 (9-x) 1 4 -x¹ (9 + x) y 0≤x≤9.1 -9.1 < x < 0 X
The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 25 different months. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 25 °F. Note that you can use the graphing tools to help you approximate the line. 100- y 90- x 80- × × xx 70- Monthly x x heating cost 60- × (in dollars) 50- × 40- 30- 20- 10- × x x x x x 0 10 20 30 40 50 60 70 80 90 100 Average monthly temperature (in °F) (a) Write an approximate equation of the line of best fit. y = (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 25 °F. $ ☐ G
The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 25 different months. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F. Note that you can use the graphing tools to help you approximate the line. y 100- 90+ 80+ ? 70+ Monthly heating cost (in dollars) 60+ 50+ 40+ 30- 20+ 10+ X + 0 10 20 30 40 50 60 70 80 90 100 Average monthly temperature (in °F) X X X X X X x X xx X X X X X xx X X X X X A X Ś (a) Write an approximate equation of the line of best fit. y = 0 (b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F. $0 X Ś ?
The cost function y = 150 + 7X. OA. has a slope coefficient of 150 OB. has an intercept of 150 OC. represents a fixed cost OD. is a nonlinear

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