A linear graph of the cost of broccoli in dollars per pound has the points left parenthesis 3 comma 8.25 right parenthesis and left parenthesis 6 comma 16.50 right parenthesis. What is the rate of change in the purchase price in dollars per pound?
To find the rate of change in the purchase price in dollars per pound, we need to calculate the slope of the line connecting the two given points.
The formula for finding the slope of a line passing through two points (x1, y1) and (x2, y2) is:
Slope = (y2 - y1) / (x2 - x1)
In this case, our points are (3, 8.25) and (6, 16.50).
Using the formula:
Slope = (16.50 - 8.25) / (6 - 3)
= 8.25 / 3
= 2.75
Therefore, the rate of change in the purchase price in dollars per pound is $2.75 per pound.