Question

theres 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 = 34 + 0.3c, 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 = 65?
answer
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 0 times per minute.
the expected temperature in degrees fahrenheit if the cricket has chirped 65 times per minute.
the number of times the cricket could be expected to chirp in one minute if its 65° f.
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Explanation:

Step1: Understand the formula

The formula is \( T = 34 + 0.3c \), where \( T \) is temperature (°F) and \( c \) is chirps per minute. We are given \( T = 65 \) and need to find the meaning of \( c \) here.

Step2: Analyze each option

• Option 1: Talks about change in temperature per chirp (slope, 0.3), not \( c \) when \( T = 65 \). Eliminate.
• Option 2: Refers to \( T \) when \( c = 0 \) (y - intercept, 34), not related to \( T = 65 \). Eliminate.
• Option 3: Talks about \( T \) when \( c = 65 \), but we have \( T = 65 \), so this is reversed. Eliminate.
• Option 4: When \( T = 65 \), solving for \( c \) gives the number of chirps per minute at 65°F, which matches the description.

Answer:

The number of times the cricket could be expected to chirp in one minute if it's \( 65^\circ \) F.