380 360 340- 320 300- 280- 260- 240+ 220 200- 180- 160- 140+ 120- 100+ 80+ 60+ 40- 20- 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Time (minutes) Which situation relates to the graph? O A bath tub has 360 liters of water, and 96 liters of water is added for each additional minute. A bath tub has 360 liters of water, and 72 liters of water is added for each additional minute. A bath tub has 360 liters of water remaining, and 96 liters of water is drained for each additional minute. A bath tub Ihas 360 liters of water remaining, and 72 liters of water is drained for each additional minute Water (liters)

380 360 340- 320 300- 280- 260- 240+ 220 200- 180- 160- 140+ 120- 100+ 80+ 60+ 40- 20- 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Time (minutes) Which situation relates to the graph? O A bath tub has 360 liters of water, and 96 liters of water is added for each additional minute. A bath tub has 360 liters of water, and 72 liters of water is added for each additional minute. A bath tub has 360 liters of water remaining, and 96 liters of water is drained for each additional minute. A bath tub Ihas 360 liters of water remaining, and 72 liters of water is drained for each additional minute Water (liters)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.3: Polynomials And Special Products

Problem 82E: Stopping distance, The stopping distance of an automobile is the distance travelled during the...

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Buying a Car: If you buy a 25,000 car at an APR of 6, then your monthly payments depends on the term of the loan. If the term is t months, then your monthly payment is M=25,0000.0051.005t1.005t1dollars a. Make a graph of the monthly payments versus the length of the term, in months. Include terms from 12 to 60 months. b. Is the graph increasing or decreasing? What does that mean in practical terms? c. Do you lower your monthly payment more by changing the term of the loan from 12 to 24 months or from 48 to 60 months? Suggestion: you dont need a calculation here. The concavity of the graph can give you the answer.
Lidocaine Lidocaine is a drug used to treat irregular heartbeats. After an injection of a 100-mg dose of lidocaine, the amount of the drug in a patients bloodstream is 33.67(e0.0075731te0.12043t)mg at time t minutes after the injection. a. Make a graph of the amount of drug in the bloodstream for t up to 4 hours 240 minutes. b. When does the drug reach its maximum level in the bloodstream? c. For a person of typical size, the drug is effective as long as the amount in the bloodstream is at least 7.5 mg. For how long is the drug at or above that level? Hint: The drug is at that level twice. d. For a person of typical size, the lethal level occurs when the amount in the bloodstream exceeds 30 mg. Is this dose lethal for such a person? e. For a small person, the lethal level occurs when the amount in the bloodstream exceeds 15 mg. Is this dose lethal for such a person? If so, after how many minutes will it be lethal?
World Crude Oil Production In 1956, M.King Hubbert proposed a model to analyse crude oil production. His model, with updated data, gives world crude oil production as P=254.43e0.042t(1+2.12e0.042t)2 Here P is measured in billions of barrels per year, and t is time, in year, since 2000. a.Make a graph of world crude oil production for 2000 through 2040. b.When does this model predict a peak in world crude oil production? c.What is the maximum crude oil production predicted by this model?
Baking a Potato: A potato is placed in a preheated oven to bake. Its temperature P=P(t) is given by P=400325et/50, Where P is measured in degrees Fahrenheit and t is the time in minutes since the potato was placed in the oven. a. Make a graph of P versus t.Suggestion: in choosing your graphing window, it is reasonable to look at the potato over no more than a 2-hour period. After that, it will surely be burned to a crisp. You may wish to look at a table of values to select a vertical span. b. What was the initial temperature of the potato? c. Did the potatos temperature rise more during the first 30 minutes or second 30 minutes of baking? What was the average rate of change per minute during the first 30 minutes? What was the average rate of change per minute during the second 30 minutes. d. Is this graph concave up or concave down? Explain what that tells you about how the potato heats up, and relate this to part c.. e. The potato will be done when it reaches a temperature of 270 degrees. Approximate the time when the potato will be done. f. What is the temperature of the oven? Explain how you got your answer. Hint: if the potato were left in the oven for a long time, its temperature would match that of the oven.
Fluid Flow The intake pipe of a 100-gallon tank has a flow rate of 10 gallons per minute, and two drainpipes have flow rates of 5 gallons per minute each. The figure shows the volume V of fluid in the tank as a function of time t. Determine whether the input pipe and each drainpipe are open or closed in specific subintervals of the 1 hour of time shown in the graph. (There are many correct answers.)
Stopping distance, The stopping distance of an automobile is the distance travelled during the driver’s reaction time plus the distance travelled after the driver applies the brakes. In an experiment, researchers measured these distances (in feet) when the automobile was traveling at a speed of x. miles per hour on dry, level pavement, as shown in the bar graph. The distance travelled during the reaction time R was R=1.1x and the braking distance B was B=0.0475x20.001x+0.23. (a) Determine the polynomial that represents the total stopping distance T. (b) Use the result of part (a) to estimate the total stopping distance when x=30,x=40, andx=55 miles per hour. (c) Use the bar graph to make a statement about the total stopping distance required forincreasing speeds.