Question

a cricket chirps 40 times a minute when the temperature is 50 degrees. write an equation representing the temperature in terms of number of chirps per minute

Answer 1

The relationship between temperature and the number of chirps per minute can be represented by the equation C = 0.8T, where C is the number of chirps per minute and T is the temperature.

Step-by-step explanation:

The relationship between the temperature and the number of chirps per minute can be represented by an equation.

Let's assume that the temperature is denoted by T and the number of chirps per minute is denoted by C. According to the given data, when the temperature is 50 degrees, the cricket chirps 40 times per minute. We can use this information to write the equation as:

C = kT

where k is a constant.

To solve for the value of k, we can substitute the temperature and the number of chirps per minute into the equation:

40 = k * 50

Dividing both sides by 50 gives us:

k = 40/50 = 0.8

Therefore, the equation representing the temperature in terms of the number of chirps per minute is:

C = 0.8T

Answer 2

First we must assume the relationship of the number of chirps and temperature. SO assuming that they are directly proportional, therefore the equation is:

T = k C

where T is temperature, k is proportionality constant, and C is number of chirps

So at T = 50 degrees, C = 40 / min, k is:

50 = k * 40

k = 1.25

So the equation relating the two is:

T = 1.25 C