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There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula 
T=0.35 c+40, where 
T represents the temperature in degrees Fahrenheit and 
c represents the number of times the cricket chirps in one minute. What is the meaning of the 
c-value when 
T=95?
The number of times the cricket could be expected to chirp in one minute if it's 
95^(@)F.
The change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
The expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.
The expected temperature in degrees Fahrenheit if the cricket has chirped 95 times per minute.

There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula T=0.35c+40 T=0.35 c+40 , where T T represents the temperature in degrees Fahrenheit and c c represents the number of times the cricket chirps in one minute. What is the meaning of the c c -value when T=95? T=95 ? \newlineThe number of times the cricket could be expected to chirp in one minute if it's 95F 95^{\circ} \mathrm{F} .\newlineThe change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped 9595 times per minute.

Full solution

Q. There's a roughly linear relationship between the number of times a species of cricket will chirp in one minute and the temperature outside. For a certain type of cricket, this relationship can be expressed using the formula T=0.35c+40 T=0.35 c+40 , where T T represents the temperature in degrees Fahrenheit and c c represents the number of times the cricket chirps in one minute. What is the meaning of the c c -value when T=95? T=95 ? \newlineThe number of times the cricket could be expected to chirp in one minute if it's 95F 95^{\circ} \mathrm{F} .\newlineThe change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped 9595 times per minute.
  1. Understand Problem: Understand the given formula and what is asked.\newlineThe formula T=0.35c+40T=0.35c+40 relates the temperature (TT) in degrees Fahrenheit to the number of cricket chirps per minute (cc). We are asked to find the meaning of the cc-value when T=95T=95 degrees Fahrenheit.
  2. Solve for c: Solve the formula for cc when T=95T=95. We have the formula T=0.35c+40T=0.35c+40 and we need to find cc when T=95T=95. 95=0.35c+4095 = 0.35c + 40 Subtract 4040 from both sides to isolate the term with cc. 9540=0.35c95 - 40 = 0.35c 55=0.35c55 = 0.35c Now, divide both sides by 0.350.35 to solve for cc. T=95T=9511
  3. Calculate cc: Calculate the value of cc.c=550.35c = \frac{55}{0.35}c157.14c \approx 157.14Since the number of cricket chirps per minute must be a whole number, we can round this to the nearest whole number.c157c \approx 157
  4. Interpret Result: Interpret the result.\newlineThe cc-value when T=95T=95 degrees Fahrenheit is approximately 157157. This means that the number of times the cricket could be expected to chirp in one minute if it's 9595°F is about 157157 chirps. This answers the question prompt.

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