The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and the
n 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? Check all that apply. 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).
Answers: - All values of t must be positive - A viable solution is (10, 50)
- All values of t must be positive. EXPLANATION t, temperature (in Fahrenheit) is dependent on c c is the number of cricket chirps heard in 14 seconds Therefore, all values of c must be positive integers If all values of c must be positive integers Then all values of t must also be positive integers
- A viable solution is (10, 50). EXPLANATION t = c + 40 Since 10 is a positive integer, it is a possible value for c
If c = 10 t = 10 + 10 t = 50 Therefore a viable solution is (10, 50)
EXPLANATION FOR WHY OTHER OPTIONS ARE WRONG: - The graph is continuous. This is WRONG because this function only allows the values of c to be only certain points in the interval (only positive integers). Therefore, it is a discrete function.
- A viable solution is (–2, 38) This is WRONG because the -2 is a negative integer, and the value of c cannot be a negative integer.
- A viable solution is (0.5, 40.5) This is WRONG because 0.5 is not an integer, and all values of t must also be positive integers.
