The graph shows the relationship between time and the number of soda bottles a machine can make use the points 4,180band (7,315) to find the number of soda bottles the machine can make each minute.

45

Step-by-step explanation:

The points on the graph :

(4, 180) ; (7, 135)

x1 = 4 ; y1 = 180

x2 = 7 ; y2 = 315

The number of soda bottles the machine can make in a minute is the gradient or slope :

Gradient = change in y / change in x

Gradient = (y2 - y1) / (x2 - x1)

Gradient = (315 - 180) / (7 - 4)

Gradient = 135 / 3

Gradient = 45

Hence, the machine can make 45 soda bottles in a minute.