Respuesta :
Accroding to the graph.:
0 min 0 boxes
2 min 120boxes
4 min 240 boxes
6 min 360 boxes
8 min 480 boxes.
So 2 minutes "gives us" 120 boxes
120/2= 60 boxes per minute.
In 5 minutes the machine package does 5*60=300 boxes.
0 min 0 boxes
2 min 120boxes
4 min 240 boxes
6 min 360 boxes
8 min 480 boxes.
So 2 minutes "gives us" 120 boxes
120/2= 60 boxes per minute.
In 5 minutes the machine package does 5*60=300 boxes.
From the proportional relationship, machine will package 300 boxes in 5 minutes.
Given points on the graph are,
- (0, 0), (2, 120), (4, 240), (6, 360), (8, 480)
Here, x-values represent time in minutes and y-values represent the number of boxes packed.
Since, x and y show the proportional relationship,
Expression showing the relationship will be → y ∝ x
Or y = kx
Here, k is a proportionality constant.
k = [tex]\frac{y}{x}[/tex]
From the points given, we choose one point (2, 120).
k = [tex]\frac{120}{2}[/tex]
k = 60
Therefore, equation will be,
60 = [tex]\frac{y}{x}[/tex]
y = 60x
For x = 5 minutes,
y = 60×5
y = 300 boxes
Therefore, 300 boxes the machine will package in 5 minutes.
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