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? 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.

'c' is the number of cricket chirps means that 'c' is always a positive integer and according to the given relation 't' temperature is also a positive integer. The correct options are b) and e).

Given :

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.

'c' is the number of cricket chirps means that 'c' is always a positive integer. Hence, according to the given relation 't' temperature is also a positive integer.

Now, accoring to the given option:

c). A viable solution is (–2, 38).

This option is incorrect because t and c are always positive integers.

d). A viable solution is (0.5,40.5).

This option is incorrect because t and c are always positive integers.

e). A viable solution is (10,50).

This option is correct because t and c are always positive integers.

Therefore, the correct options are b) and e).

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