Question

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 = 0.31c + 30, 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 = 81?

Answer 1

When
`\( t = 81 \), the value of \( c \) is approximately \( 168.39 \).`

Step-by-step explanation:

In the given formula
`\( t = 0.31c + 30 \), \( t \)`represents the temperature in degrees Fahrenheit, and
`\( c \) represents the number of times the cricket chirps in one minute. To find the meaning of the \( c \)-value when \( t = 81 \), we substitute \( 81 \) for \( t \)` in the formula:

`\[ 81 = 0.31c + 30 \]`

Solving for
`\( c \) yields \( c \approx 168.39 \). This means that when the temperature is \( 81 \) degrees Fahrenheit, the cricket of this species is expected to chirp approximately \( 168.39 \) times in one minute.`The
`\( c \)-`value serves as an indicator of the chirping rate, allowing us to understand the correlation between temperature and the behavior of this particular cricket species. It suggests that as the temperature increases, the cricket tends to chirp more frequently, emphasizing the predictive nature of the linear relationship established by the given formula.