college algebra
posted by jenny .
Erin is a biology student. She heard that the number of times a cricket chirps in one minute can be used to find the temperature. In an experiment, she finds that a cricket chirps 40 times per minute when the temp. is 50 degrees(Fahrenheit) and 80 times per minute when the temp. is 60 degrees. Find the temp. when the cricket chirps at 95 times per min.

college algebra 
Reiny
on the assumption that this relation is linear,
you can treat this as being given two ordered pairs in the relation, namely
(40,50 and (80,60), where the first variable is c (chirps) and the second variable is t (time)
so we are looking for t = mc + b (to resemble the familiar y = mx + b linear equation)
slope = (6050)/(8040) = 10/40 = 1/4
using m= 1/4 and the point (40,50)
50 = (1/4)(40) + b
b = 40
so you have t = 1/4c + 40
when c = 95
t = (1/4)(95) + 40
= 63.75 degrees
OR
draw a straight line, plot the points
(40,50), (80,60) and (95,t)
then (t60).(9580) = (605)/(8040)
(t60)/15 = 1/4
4t  240 = 15
t = 63.75
Respond to this Question
Similar Questions

math
the chiring rate of crickets of some species is related to temperature, and the relationship appears to be very near linear. A cricket produces 113 chirps per minute at 70 degrees farenheit and 173 chirps per minute at 80 degrees farenheit. … 
Chemistry
In cool weather, the number of chirps per minute from crickets diminishes. How can this be explained in terms of rates of reaction? 
math
Suppose that C is the number of chirps a cricket makes every 15 seconds. Using the formular C = T  40, A. How many chirps does the cricket do at 70 degrees fahrenheit? 
math
Biologists have noticed that the chirping rate of crickets of certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at 70 degrees Fahrenheit and 173 … 
regression
You have heard about but never took seriously the Old Farmerâ€™s Almanac claim that you can tell the temperature of the air by counting the number of cricket chirps in 1 minute. You decide to test the claim so one night when the temperature … 
Applied Calculus......
Suppose a snowytree cricket chirps 180 times per minute if the temperature is 102 degrees, and chirps 120 times per minute when the temperature is 90 degrees. Construct a mathematical model that will predict the number of chirps per … 
math
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. A cricket produces 119 chirps per minute at 67 degrees Fahrenheit and 172 … 
mathalgebra HELP!!!!
a scientist theorized that you can estimate the temperature by counting how often crickets chirp. the scientist gathers the data in the table shown. A)how many cricket chirps would you expect to indicate a temperature of 85 degrees? 
calculus
The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends linearly on the temperature. One summer evening you hear a cricket chirping at a rate of 160 chirps/minute, and you notice that the temperature … 
maths
Tebogo counts 190 cricket chirps in a minute.What is the temperature