Question

the temperature, t, in degrees fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. the equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. what is true about the graph that represents this real - world scenario? select two options.
the graph is continuous.
all values of t must be positive.
a viable solution is (-2, 38).
a viable solution is (0.5, 40.5).
a viable solution is (10, 50).

Explanation:

Step1: Analyze the real - world context

In the context of temperature and cricket chirps, temperature \(t\) (in degrees Fahrenheit) and number of chirps \(c\) cannot be negative in a real - world scenario. Also, the relationship is continuous as there can be fractional values of chirps and temperature can vary continuously.

Step2: Evaluate each option

• The graph being continuous makes sense as the variables can take non - integer values.
• Temperature \(t\) must be positive because negative temperatures in this context don't make physical sense for the described real - world situation.

Answer:

The graph is continuous.
All values of \(t\) must be positive.