Q:

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Accepted Solution

A:
Answer:(0, 29.50)  Step-by-step explanation:y increases 8.50 units for every 2 units that x increases, or y increases 4.25 units per unit of x.  For the same reason, if we decrease x from 3 to 0 (3 units), y decreases by 3 × 4.25 units = 12.75 units. y = 42.25 - 12.75 = 29.50 The initial value is at (0, 29.50). The graph below shows your two points and the line joining them extrapolated back to the initial value at (0, 29.50).