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).
Answer
A
The graph is continuous.
B
All values of t must be positive.
C
A viable solution is (–2, 38).
D
A viable solution is (0.5, 40.5).
E
A viable solution is (10, 50).
Explanation
The number of chirps, c, is a count, so it must be a nonnegative whole number. Since t = c + 40, every possible temperature is at least 40°F, so all values of t are positive. With c = 10, t = 10 + 40 = 50, making (10, 50) viable; the other listed pairs use a negative or fractional chirp count.
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