Question

Joe purchased a tray of 48 petunias to plant in his garden. The graph shows points representing the number of flowers left to plant at several different times while Joe is planting.
Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of petunias left to plant, y, and the time, x, Joe has spent planting.

(Choose) x + y = (Choose)

Answer 1

From the graph, we can say that the system can be represented by a linear function. A linear function has a standard form of:

y = mx + b where m is the slope and b is the y-intercept.

From the image, b would have a value of 48. The slope can be calculated as follows:

slope = ( 48 - 36 ) / (0 - 1) = -12

The equation can be written as:

y = -12x +48
or
12x + y = 48

Answer 2

Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48