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, 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.
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, 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.
Understand Formula: First, let's understand the formula T=0.25c+37, where T is the temperature in degrees Fahrenheit and c is the number of cricket chirps per minute. We need to find the meaning of the c-value when T=77.
Substitute and Solve: To find the meaning of the c-value when T=77, we can substitute T with 77 in the formula and solve for c.77=0.25c+37
Isolate Term: Subtract 37 from both sides of the equation to isolate the term with c. 77−37=0.25c40=0.25c
Divide to Solve: Now, divide both sides by 0.25 to solve for c. c = rac{40}{0.25}c=160
Interpret Meaning: The c-value of 160 means that the cricket is expected to chirp 160 times per minute when the temperature is 77 degrees Fahrenheit. This answers the question prompt.
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