Answer:
Part 1) ![f(6)=30](https://tex.z-dn.net/?f=f%286%29%3D30)
Part 2) ![f(4)=27](https://tex.z-dn.net/?f=f%284%29%3D27)
Part 3) ![g(-2)=6](https://tex.z-dn.net/?f=g%28-2%29%3D6)
Part 4) Part 5) Part 6) and part 7) in the procedure
Step-by-step explanation:
Part 1) we have
![f(x)=2.50x+15](https://tex.z-dn.net/?f=f%28x%29%3D2.50x%2B15)
we know that
is the value of the function when ![x=6](https://tex.z-dn.net/?f=x%3D6)
so
substitute the value of x in the function
![f(6)=2.50(6)+15=30](https://tex.z-dn.net/?f=f%286%29%3D2.50%286%29%2B15%3D30)
Part 2) we have
![f(x)=42-3.75x](https://tex.z-dn.net/?f=f%28x%29%3D42-3.75x)
we know that
is the value of the function when ![x=4](https://tex.z-dn.net/?f=x%3D4)
so
substitute the value of x in the function
![f(4)=42-3.75(4)=27](https://tex.z-dn.net/?f=f%284%29%3D42-3.75%284%29%3D27)
Part 3) we have
![g(x)=5x+16](https://tex.z-dn.net/?f=g%28x%29%3D5x%2B16)
we know that
is the value of the function when ![x=-2](https://tex.z-dn.net/?f=x%3D-2)
so
substitute the value of x in the function
![g(-2)=5(-2)+16=6](https://tex.z-dn.net/?f=g%28-2%29%3D5%28-2%29%2B16%3D6)
Part 4) Which of the following functions match these outcomes:
![f(1)=6](https://tex.z-dn.net/?f=f%281%29%3D6)
we know that
is the value of the function when ![x=1](https://tex.z-dn.net/?f=x%3D1)
so
substitute the value of x in each of the functions and then compare
-----> this function matches the outcome
-----> this function matches the outcome
-----> this function does not match the outcome
-----> this function matches the outcome
-----> this function does not match the outcome
Part 5) Which of the following functions match these outcomes:
![f(2)=8](https://tex.z-dn.net/?f=f%282%29%3D8)
we know that
is the value of the function when ![x=2](https://tex.z-dn.net/?f=x%3D2)
so
substitute the value of x in each of the functions and then compare
-----> this function does not match the outcome
-----> this function does not match the outcome
-----> this function matches the outcome
-----> this function matches the outcome
-----> this function does not match the outcome
Part 6) Which of the following functions match these outcomes:
![f(3)=10](https://tex.z-dn.net/?f=f%283%29%3D10)
we know that
is the value of the function when ![x=3](https://tex.z-dn.net/?f=x%3D3)
so
substitute the value of x in each of the functions and then compare
-----> this function does not match the outcome
-----> this function does not match the outcome
-----> this function does not match the outcome
-----> this function matches the outcome
-----> this function does not match the outcome
Part 7) Which of the following functions match these outcomes:
![f(4)=12](https://tex.z-dn.net/?f=f%284%29%3D12)
we know that
is the value of the function when ![x=4](https://tex.z-dn.net/?f=x%3D4)
so
substitute the value of x in each of the functions and then compare
-----> this function does not match the outcome
-----> this function does not match the outcome
-----> this function does not match the outcome
-----> this function matches the outcome
-----> this function does not match the outcome