question is too big to fit in one picture SCThe total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certainsituations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T.Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship21.96m1+2.41n'where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch).(a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch.1P=AF1QN2P1510P1510*F2WSX0.5#380F3ED1.0C$4F4R1.5F01 2%5V2.0FSTG1815O10P1510< 6PMacBook AirB244FO0.5Y&744F7I1.0UN1.5WebAssign Plot*8DIIFBI2.0H J KM(9nDDF90<)I0L4F10P>:;3*F11{J+=[21?41)F12..I}I1deleteL !13QAN10OFIP15O10Need Help? Read It25cocoons0.5F2WS0.5#380F31.0 1.5ED1.0X C$1.54888F4R(b) What density of cocoons will ensure that the wasp will find and parasitize 7 of them? (Round your answer to one decimal place.)cocoon(s) per square inchF2.0%52.0(c) There is a limit to the number of cocoons that the wasp is able to parasitize no matter how readily available the prey may be. What is this upper limit? (Round your answer to the nearestwhole number.)VnAF5T10G15O106PA5B0.5F60.5MacBook AirYH&780F71.01.0UN* CO1.581.5JDIIF8I2.0M2.0(9nKnDDF9O<)0L4F10PV:;(F11{+11[=?:4)F12I}I1

here we have just need of calculation. See below the calculation and answers

The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship 21.96 1+2.41n where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. P 15 10 15 10 5 0.5 1.0 1.5 2.0 n P 15 10 15 10 0.5 MacBook Air 1.0 1.5 WebAssign Plot 2.0 n

The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling proposed a function of the form P = cn/(1+ dn) to model the number of prey taken in certain situations. Here n is the density of prey available, and c and d are constants that depend on the organisms involved as well as on other environmental features. Holling took data gathered earlier by T. Burnett on the number of sawfly cocoons found by a small wasp parasite at given host density. In one such experiment conducted, Holling found the relationship 21.96 1+2.41n where P is the number of cocoons parasitized and n is the density of cocoons available (measured as number per square inch). (a) Draw a graph of P versus n. Include values of n up to 2 cocoons per square inch. P 15 10 15 10 5 0.5 1.0 1.5 2.0 n P 15 10 15 10 0.5 MacBook Air 1.0 1.5 WebAssign Plot 2.0 n

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 3TU

See similar textbooks

Similar questions

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Explain the difference between the average rate of change of y as x changes a to b, and the instantaneous rate of change of y at x=a
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Can the average rate of change of a function be constant?
Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. (1.922+2.12)13
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.