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The equation $T=\frac{1}{4}n+40$is used to estimate the temperature in degrees Fahrenheit, T, based on the number of cricket chirps, n, in one minute.

鈸� Estimate the temperature when there are no chirps.

鈸� Estimate the temperature when the number of chirps in one minute is 100.

鈸� Interpret the slope and T-intercept of the equation.

鈸� Graph the equation.

Put $n=0$in the equation $T=\frac{1}{4}n+40$

$T=\frac{1}{4}\left(0\right)+40$

$T=0+40$

$T=40$

Put $n=100$in the equation $T=\frac{1}{4}n+40$

$T=\frac{1}{4}\left(100\right)+40$

$T=25+40$

$T=65$

The equation $T=\frac{1}{4}n+40$is in slope-intercept form $y=mx+b$.

by comparison, we get, slope, $m=\frac{1}{4}$, which means that estimated temperature increases by 1 degree Fahrenheit with increase in number of cricket chirps by 4 in a minute. T-intercept means that when number of cricket chirps is 0, estimated temperature is 40 degrees Fahrenheit.

Graphing the equation $T=\frac{1}{4}n+40$.

Take two points calculated above:$(0,40),(100,65)$