Question

The history of rental fees for a two-bedroom apartment are recorded in the graph below.



Create a linear function that models the data in the graph. Let x = 0 represent the year 1980.

y = 25 x + 500
y = 500 x + 25
y = -25 x + 500
y = -500 x + 25

Answer 1

y = 25x + 500

Reason: the graph shows the rent was $500 at x = 0 (1980) and rises to $750 at x = 10 (1990), so the slope is (750−500)/(10−0) = 25. Thus y = 25x + 500.