Plot points, identify the quadrant, and find the distance from the origin (0,0).
Scenario:
Relationship: $\mathbf{Y} = \mathbf{kX}$. Line must pass through (0,0).
Input-Output Table (X, Y)
Constant of Proportionality (k)
Unit Rate Interpretation: ?
System of Equations (Find the common solution)
Line 1 (Red):
Line 2 (Blue):
Solution (Intersection Point)
Set of Ordered Pairs
Coordinates (X, Y):
Is this a Function? (Vertical Line Test)
Scenario:
Function: $\mathbf{Y} = \mathbf{a}(\mathbf{b})^\mathbf{X}$
Input-Output Table (X, Y)
Key Parameters
Initial Value ($a$): ?
Growth Factor ($b$): ?
Notice the rapid increase in Y-values.
