O GRAPHS, FUNCTIONS, AND SEOUENCESComparing proportional relationships given in different formsThree pumps are pumping fuid at constant rates.For each, the amount of fluld pumped depends on time, as shown below.Pump APump BPump C320-200-240-200Amountf=70tTime300-ol1 2 3of fuld(L)(hours)120-f is the amount of fluid in litersAmountof fluid 0 90 180 270(liters)80t is the time in hours40-Time (h)Answer the questions below about the pumps.(a) What is the rate of each pump?Pump A:Pump B:Pump C:(b) Which pump is the fastest?O Pump AO Pump BO Pump C(c) How much fluid does each one pump in 2 hours?Pump A: litersPump B: litersPump C: litersExplanationCheckPri2022 MeGrw H LLC A Rgh senved Terms of Use60000000758067

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Answered: Three pumps are pumping fluid at…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.1: Systems Of Equations

Problem 50E

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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?
A store offers customers a 30% discount on the price x of selected items. Then, the store takes off an additional 15% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x. (Hint: Use function composition to find your answer.)
Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?
Composing linear functions the graphs of the functions f(x)=m1x+b1 f(x)=m2x+b2 are line with cloths m1 and m2 ,respectively is the graph of fg a line ? if so ,what is its slope?

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