$\"\"$

\

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.