The relationship between the data and the line and the unit price of oranges of $1.50 per pound is best represented by option C.
What is the slope of a line?
The slope of a line is the tangent of the angle that the line makes with the positive direction of the x-axis.
It signifies the rise in the y-variable for a unit change in the x-variable.
If the line passes through the points (x, y) and (x, y), then the slope of the line, m = (y - y)/(x - x).
How to solve the question?
In the question, we are asked to identify the graph and mention the unit price of the orange from the available data.
Taking the quantity of oranges bought in pounds and the cost of oranges in dollars on the x and y axes respectively, we can say that the line must pass through the points:
(2, 3) representing the purchase by LaMar,
(5, 7.5) representing the purchase by Enrico,
(3, 4.5) representing the purchase by Anna.
The unit price can be calculated by calculating the slope of the line,
m = (7.5 - 4.5)/(5 - 3) = 3/2 = 1.5.
These points and the required unit rate is satisfied by option C, thus it is the best choice.
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