1. Recent studies indicate that the average surface temperature of the earth has been risingsteadily. Some scientists have modeled the temperature by the function T=0.02t +8.5, whereT is temperature in °C and t represents years since 1900.A) What is the slope? What does it represent in this problem?B) What is the T-intercept? What does it represent in this problem?C) Use the equation to predict the average global surface temperature in 2009.2. Given the graph as shown:A) Draw a secant line between x = 1 and x = 5 andestimate the slope of the line.slope =B) Draw a tangent line at x = 1 and estimate the slope ofthe line.slope =3. The following table lists how many times an average person ate meals out in restaurants byyear.Year, yMeals, m1990 1992 1994 1996 1998 1999121 124 128 132 137 139A) What is the average rate of change of the number of meals between year 1992 and 1998?B) Estimate the instantaneous rate of change at y=1994.C) What does m'(1994) mean in terms of year and meals?

According to Bartleby guidelines we are supposed to do the first one of multiple questions Kindly…

Answered: 1. Recent studies indicate that the…

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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In the equation Y’ = b0+bX, Y’ is level of boredom and X is listening to statistics tutorials. If b = 0, what can be said about the relationship between boredom and listening to statistics tutorials? Answer Choices A) No relationship exists because there is no slope B) A positive relationship exists C) A negative relationship exists
he graph shows the values I (in billions of dollars) of goods imported to the United States and the values E (in billions of dollars) of goods exported from the United States from 1980 through 2013. Approximate the average rates of change of I and E (in billions of dollars per year) during each period.† A scatter plot titled Trade Deficit has a horizontal axis labeled t = Year (0 ↔ 1980) with values from 0 to 35 and a vertical axis labeled Value of goods (in billions of dollars) with values from 0 to 2,400. There are two groups of points on the scatterplot. The group of points labeled I has 34 points. A pattern goes up and right becoming more steep from (0, 250) to (33, 2,300). The points are as follows. (0, 250) (1, 270) (2, 250) (3, 270) (4, 330) (5, 340) (6, 370) (7, 410) (8, 450) (9, 480) (10, 500) (11, 490) (12, 540) (13, 590) (14, 670) (15, 750) (16, 800) (17, 880) (18, 920) (19, 1,040) (20, 1,230) (21, 1,150) (22, 1,170) (23, 1,270) (24, 1,490) (25,…
Dr. Cosentino released the information that the enrollment at Lander University grows linearly over time. The initial enrollment was 1257, and this number had grown to 1917 after 3 years.(a) Write down an equation giving the enrollment, y in terms of the number of years since the school opened, x .y = (b) How long will it take for the enrollment to reach 4029 students? Round your answer to two decimal places.
The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 24 students last week. (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 time spent doing homework for a student who spends 12 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework (in hours) 32- 28- 24+ 20+ 16+ 12+ y 8+ 4- 0 ** 4 x -X X X X xxx x * X X X Time spent watching TV (in hours) xx 8 12 16 20 24 28 hours X (a) Write an approximate equation of the line of best fit. X (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching TV. 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 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
What is the linear equation (y = mx + b form) that best approximates the relationship between advertising dollars spent(x) and sales revenue(y) based on the above 8 months of data? (round to 2 decimals for the slope and the y intercept)
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The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week. (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 time spent doing homework for a student who spends 15 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework Kin hours) 32- 28- Y 244 20- 124 F 44 B * K 12 x 14 20 24 26 Time spent watching TV (in hours) 32 X (a) Write an approximate equation of the line of best fit. = 0 (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. hours
Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.
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 ?

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