SOLUTION: The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 °F. At 176 chirps per minute, the temperatur

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Question 1151187: The outside temperature can be estimated based on how fast crickets chirp.
At 104 chirps per minute, the temperature is
63
°F.
At 176 chirps per minute, the temperature is
81
°F.
Using this information, you can make a formula that relates chirp rate to temperature. Assume the relationship is linear, that is the points form a straight line when plotted on a graph.
What is the temperature if you hear
148
chirps per minute?
What is the temperature if you hear
84
chirps per minute?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let the number of chirps be and the number of degrees
At chirps per minute, the temperature is °F. we have
and
that is a point ( , ) on a line
At chirps per minute, the temperature is °F.
that is a point ( , ) on a line
the equation of a line is:
where is a slope and is y-intercept
using given points find slope :


.....simplify, divide both numerator and denominator by

.......now use one point to find




your equation is:



What is the temperature if you hear chirps per minute?
given:


=> the temperature is °F

What is the temperature if you hear chirps per minute?
given:


=> the temperature is °F


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