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, 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.
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, 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.
Understand Problem: Understand the given formula and what is asked.The formula T=0.35c+40 relates the temperature (T) in degrees Fahrenheit to the number of cricket chirps per minute (c). We are asked to find the meaning of the c-value when T=95 degrees Fahrenheit.
Solve for c: Solve the formula for c when T=95. We have the formula T=0.35c+40 and we need to find c when T=95. 95=0.35c+40 Subtract 40 from both sides to isolate the term with c. 95−40=0.35c55=0.35c Now, divide both sides by 0.35 to solve for c. T=951
Calculate c: Calculate the value of c.c=0.3555c≈157.14Since the number of cricket chirps per minute must be a whole number, we can round this to the nearest whole number.c≈157
Interpret Result: Interpret the result.The c-value when T=95 degrees Fahrenheit is approximately 157. This means that the number of times the cricket could be expected to chirp in one minute if it's 95°F is about 157 chirps. This answers the question prompt.
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