Relationship 1 has an initial value of 5 and a rate of
change of 3/2. Relationship 2 has a rate of change of
5/6. Explain how to find what the initial value of
Relationship 2 needs to be for it to have an output of 50
with the exact same input as Relationship 1.

Sample Response: The equation of Relationship 1 is y = 3/2x + 5. Substitute 50 for y and solve to find that x = 30. Multiply 30 by 5/6, the rate of change of Relationship 2, to get 25. This means that the initial value would need to be 25 to get to 50 when the input is 30.