SOLUTION: 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 113

Algebra ->  Equations -> SOLUTION: 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 113       Log On


   

Question 905664: 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 113 chirps per minute at 73 degrees Fahrenheit and 172 chirps per minute at 87 degrees Fahrenheit.
Find a linear equation that models the temperature T as a function of the number of chirps per minute N.
T(N)= ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+T+=+f%28+N+%29+
Plot Temp on the vertical axis
Plot Number of chirps on horizontal axis
The given points are:
( 113, 73 )
( 172, 87 )
Use the general point-slope formula
+%28+T+-+73+%29+%2F+%28+N+-+113+%29+=+%28+87+-+73+%29+%2F+%28+172+-+113+%29+
+%28+T+-+73+%29+%2F+%28+N+-+113+%29+=+14+%2F+59+
+59%2A%28+T+-+73+%29+=+14%2A%28+N+-+113+%29+
+59T+-+4307+=+14N+-+1582+
+59T+=+14N+%2B+2725+
+T+=+%2814%2F59%29%2AN+%2B+46.186+
---------------------------
check answer:
( 113, 73 )
+T+=+%2814%2F59%29%2AN+%2B+46.186+
+73+=+%2814%2F59%29%2A113+%2B+46.186+
+73+=+26.814+%2B+46.186+
+73+=+73+
OK
You can check the other point