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).

Answer 1

Answer:

Explanation:

Answers:

- All values of t must be positive

- A viable solution is (10, 50)

- All values of t must be positive.  

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).

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.