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| PAGE: 34 | SET: Exercises | PROBLEM: 15 |
A cricket produces 
chirps per minute at 
F and 
chirps per minute at 
F.
(a)
The temperature 
and chirping rate of crickets 
are very near to a linear relation.
Find the temperature 
as a function of the number of chirps per minute 
.
Here is the input variable and is the output.
Therefore the linear equation is 
.
From the data the two points are 
and 
.
The line equation passing through the points
and 
is 
.
Substitute 
and 
in the line equation.
The linear equation is 
.
(b)
The two points are 
and 
.
The slope of a line passing through the points 
and 
is 
.
Substitute 
and 
in the slope.
Slope is 
.
Here slope is positive, So chirping rate increases then temperature also increases.
For every 
chirp per minute the change in temperature is 
F.
(c)
The linear equation is 
.
Find the temperature , when chirps rate is 
chirps per minute.
Substitute 
in the linear equation.
Temperature is 
F.
(a) The linear equation is .
(b) Slope is 
, for every 
chirp per minute the change in temperature is 
F.
(c) Temperature is 
F.
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