Question

You can determine the approximate temperature in degrees Fahrenheit by counting the number of times a cricket chirps in one minute. Then multiply that by 7, divide by 30, and add 40. a. Write a formula for estimating the temperature based on the number of cricket chirps. b. Write a new formula for the number of chirps you would expect in one minute at a given Fahrenheit temperature. c. Use the formula to find the number of chirps in one minute when the temperature is 89°F.

Answer 1

Answer:

(a)  T=(7C/30)+40

(b)  C=(30/7)*(T-40)

(c)   210 chirps in one minute

Step-by-step explanation:

We will cal the number of times a cricket chirps in one minute as C, and the temperature in degrees Fahrenheit as T. According to the information given we have

T=(7C/30)+40 this is the answer of (a)

resolving for C we obtain

C=(30/7)*(T-40)  this is the answer of (b)

substituting T=89°F in the above expression yields

C=(30/7)*(89-40) = (30/7)*(49) = 210 chirps in one minute

 (this is the answer of (c))