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T=25+3c The equation above is used to ...

`T=25+3c`
The equation above is used to model the number of chirps, c, made by a certain species of cricket in one minute, and the temperature, T, in degrees Fahrenheit. According to this model, what is the meaning of the number 3 in the equation.

A

If a cricket chirps three more times in one minute, then the temperature, in Fahrenheit, will be one degree higher.

B

If a cricket chirps three fewer times in one minute, then the temperature, in Fahrenheit, will be one degree higher.

C

If a cricket chirps one more time in one minute, then the temperature, in Fahrenheit, will be three degrees higher.

D

If a cricket chirps one fewer times in one minute, then the temperature, in Fahrenheit, will be three degrees higher.

Text Solution

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The correct Answer is:
To understand the meaning of the number 3 in the equation \( T = 25 + 3c \), we need to analyze the equation step by step. ### Step-by-Step Solution: 1. **Identify the Variables**: - In the equation \( T = 25 + 3c \): - \( T \) represents the temperature in degrees Fahrenheit. - \( c \) represents the number of chirps made by the cricket in one minute. 2. **Understanding the Equation**: - The equation indicates that the temperature \( T \) is determined by a base temperature of 25 degrees Fahrenheit plus an additional amount that depends on the number of chirps \( c \). 3. **Analyzing the Coefficient of \( c \)**: - The coefficient of \( c \) is 3. This means that for each additional chirp made by the cricket, the temperature increases by 3 degrees Fahrenheit. 4. **Interpreting the Meaning of 3**: - If the number of chirps \( c \) increases by 1 (i.e., the cricket chirps one more time), the temperature \( T \) will increase by \( 3 \times 1 = 3 \) degrees Fahrenheit. - Conversely, if the number of chirps \( c \) decreases by 1 (i.e., the cricket chirps one fewer time), the temperature \( T \) will decrease by \( 3 \times 1 = 3 \) degrees Fahrenheit. 5. **Conclusion**: - Therefore, the number 3 in the equation signifies that for every additional chirp made by the cricket in one minute, the temperature increases by 3 degrees Fahrenheit. ### Final Answer: The number 3 in the equation \( T = 25 + 3c \) means that if a cricket chirps one more time in one minute, the temperature in Fahrenheit will increase by 3 degrees.
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