Question

The number of chirps that crickets make is closely related to the temperature in after environment. When the temperatures between 12 and 38°C ,we can tell the temperature by counting the number of chirps.

Answer 1

a) 32° Celsius

b) C = m/3 + 4

c) 30 chirps

d) m = 3C - 12

This would be the equation needed to find the number of chirps as a function of temperature

Explanation:

Part a.

Since there are 84 chirps in 25 seconds
we get temperature, C = 84/3 + 4 = 28 + 4 = 32° Celsius

part b.
Equation is
C = m/3 + 4

Part c.

We have C = 14

Therefore

14 = m/3 + 4

Multiply throughout by 3

==> 3 x 14 = 3 x m/3 + 3 x 4

==> 42 = m + 12

Subtract 12:

42 - 12 = m30 = m

or m = 30 chirps

part d.

Inverse of the function C = m/3 + 4 is m expresses as a function of C

C = m/3 + 4

Multiply by 3 both sides:
3C = m + 12

3C - 12 = m

or m = 3C - 12

This would be the equation needed to find the number of chirps as a function of temperature