Respuesta :
Answer:
Step-by-step explanation:
[tex]\frac{315}{3}=105\\\frac{525}{5}=105\\\frac{735}{7}=105\\[/tex]
constant of proportionality=105
as the proportion is same ,so they are in proportional relationship.
Answer:
the data shows a proportional relationship with constant of proportionality $105/hr.
Step-by-step explanation:
Here we have the coordinates of three points and want to know whether these points are collinear (that is, whether or not they lie on the same line). Â In other words, is the slope of the line segment connecting (3, $315) and (5, $525) the same as that of the line segment connection (5, $525) and (7, $735)?
Let's find the slope of the line segment connecting (3, $315) and (5, $525):
m  = (change in y) / (change in x) = ($525 - $315) / (5 - 3) = $105/hr
Next, find the slope of the line segment connecting (5, $525) and (7, $735):
m = $210/(2 hr) = $105/hr
Because the slopes of these two line segments are the same, we conclude that the three points are collinear and that the data shows a proportional relationship with constant of proportionality $105/hr.