Question

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 124 chirps per minute?

Answer 1

Answer:

Temperature @ 124 chirps per minute is 68 °F.

Explanation:

since we know that the two point form of equation is.

$\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } =\frac{y-y_{1}  }{x-x_{1}  }$...........(1)

let y=chirps and $x$=Temperature

$y_{2} =176, y_{1}=104\\x_{2} =81, x_{1}=63$

apply in (1) we get

$\frac{176-104  }{81-63  } =\frac{y-104 }{x-63}$

$\frac{72}{18} =\frac{y-104 }{x-63}$

$4=\frac{y-104 }{x-63}$

4x-252=y-104

4x-y=252-104

Formula that relates chirp rate to temperature

4x-y=148.

4T-Chirps=148

For chirps=124,T=?

4T=148+124

4T=272

T=68 °F.

So, temperature @ 124 chirps per minute is 68 °F.