Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. Acricket produces 117 chirps per minute at 65 degrees Fahrenheit and 172 chirps per minute at 87 degrees Fahrenheit.(a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N.T(N) =

Biologists have noticed that the chirping of crickets of a certain species is related to…

Answered: Biologists have noticed that the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There is a linear relationship between how many times a cricket will chirp per minute and the local temperature. If a cricket chirps 175 times per minute at 85°F and 225 chirps per minute at 95°F determine the following: a) What is a linear equation for the temperature T(N) as a function of the number of chirps per minute N. b) What is the slope and what does it mean? The slope is which means for every increase in chirps per minute, we can expect the temperature to be degrees warmer. The slope is -, which means for every increase in chirps per minute, we can expect the temperature to be of a degree colder. The slope is 5, which means for every increase in chirps per minute, we can expect the temperature to be 5 degrees warmer. c) What is the local temperature if the crickets are chirping at a rate of 190 chirps per minute? °F
Biologists have observed that the chirping rate of a certain species of cricket is modeled by the linear equation. Temp is 60 degrees t=5/24 n+45
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.
A certain gas reserve held about 27 billion cubic feet of the gas in 2010 and is being depleted by about 1.7 billion cubic feet each year. (a) Give a linear equation for the remaining gas reserves, R, in terms of t, the number of years since 2010. (Let R be measured in billions of cubic feet.) R(t) = (b) In 2015, what will the gas reserves be? (Round your answer to one decimal place.) billion ft3(c) If the rate of depletion doesn't change, in what year will the gas reserve be depleted? (Round your answer down to the nearest year.)
Pls help
Algeria is a developing country on the northern coast of Africa. Its infant mortality rates (number of deaths per 1000 live births) declined from 94 in 1980 to 33 in 2006.a. Assume that the infant mortality rate is declining linearly over time. Construct an equation modeling the relationship between infant mortality rate and time, where time is measured in years since 1980.Round any calculations to two decimal places.d(x)= , where d(x) is the number of deaths per 1000 live births x years from 1980.b. Assuming that the infant mortality rate is declining exponentially over time, construct an equation modeling the relationship, where time is measured in years since 1980.Round any calculations to four decimal places.m(x)= , where m(x) is the number of deaths per 1000 live births x years from 1980.c. What would each of your models predict for the infant mortality rate in 2011?Round your answers to the nearest integer.Using the linear model, deaths per 1000 live births in 2011.Using the…
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
A cellular phone service provider charges $45 per month and $0.08 per minute of airtime. Enter the linear model that represents the monthly charge, c, as a function of t, the airtime used, in minutes. C (T)=

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