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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=0.25 c+37, 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=77 ?
The expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.
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 77 times per minute.
The number of times the cricket could be expected to chirp in one minute if it's 
77^(@)F.

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=0.25c+37 T=0.25 c+37 , 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=77 T=77 ?\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.\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 7777 times per minute.\newlineThe number of times the cricket could be expected to chirp in one minute if it's 77F 77^{\circ} \mathrm{F} .

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=0.25c+37 T=0.25 c+37 , 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=77 T=77 ?\newlineThe expected temperature in degrees Fahrenheit if the cricket has chirped o times per minute.\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 7777 times per minute.\newlineThe number of times the cricket could be expected to chirp in one minute if it's 77F 77^{\circ} \mathrm{F} .
  1. Understand Formula: First, let's understand the formula T=0.25c+37T=0.25c+37, where TT is the temperature in degrees Fahrenheit and cc is the number of cricket chirps per minute. We need to find the meaning of the cc-value when T=77T=77.
  2. Substitute and Solve: To find the meaning of the cc-value when T=77T=77, we can substitute TT with 7777 in the formula and solve for cc.77=0.25c+3777 = 0.25c + 37
  3. Isolate Term: Subtract 3737 from both sides of the equation to isolate the term with cc. \newline7737=0.25c77 - 37 = 0.25c\newline40=0.25c40 = 0.25c
  4. Divide to Solve: Now, divide both sides by 0.250.25 to solve for cc. \newlinec = rac{40}{0.25}\newlinec=160c = 160
  5. Interpret Meaning: The cc-value of 160160 means that the cricket is expected to chirp 160160 times per minute when the temperature is 7777 degrees Fahrenheit. This answers the question prompt.

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