To determine the unit rate of the proportional relationship, we need to find the slope of the line connecting the plotted points on the graph.
The slope of a line is calculated using the formula: slope = (change in y)/(change in x).
Let's calculate the slope using the given coordinates of the plotted points:
Point 1: (0, 0)
Point 2: (8, 0.80)
Point 3: (15, 1.50)
Point 4: (30, 3.00)
Now, calculate the change in y and change in x between each pair of points:
Between Point 1 and Point 2:
Change in y = 0.80 - 0 = 0.80
Change in x = 8 - 0 = 8
Between Point 2 and Point 3:
Change in y = 1.50 - 0.80 = 0.70
Change in x = 15 - 8 = 7
Between Point 3 and Point 4:
Change in y = 3.00 - 1.50 = 1.50
Change in x = 30 - 15 = 15
Now, let's calculate the slope using the formula:
Slope = (Change in y)/(Change in x)
Slope between Point 1 and Point 2: 0.80/8 = 0.10
Slope between Point 2 and Point 3: 0.70/7 = 0.10
Slope between Point 3 and Point 4: 1.50/15 = 0.10
The slope is consistent at 0.10 for all pairs of points.
Therefore, the unit rate of the proportional relationship is $0.10 per ounce.
So, the correct response is:
Canned peas cost $0.10 per ounce.