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).