Answer:
B. Yes, 3.5
Step-by-step explanation:
Proportional Variables
Two variables x,y are proportional if one of them can be calculated as the other variable time a fixed constant:
y = k.x
Or, equivalently:
k = y/x
k is called the constant of proportionality.
The table gives three points: (13,45.5) (14,49) (15,52.5)
To find out if the values correspond to a proportional relationship, we find the value of k for each pair:
k = 45.5 / 13 = 3.5
k = 49 / 14 = 3.5
k = 52.5 / 15 = 3.5
Since the value of k is the same for all the points, we conclude the table shows a direct proportional relationship and the constant of proportionality is 3.5
