A linear graph of the cost of broccoli and dollars per pound has the points (3, 8.25) and (6, 16.50). What is the rate of change in the purchase price in dollars per pound?
To find the rate of change in the purchase price, we can use the formula for the slope of a line.
The formula for the slope (rate of change) of a line passing through two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (3, 8.25) and (6, 16.50). Substituting these values into the formula, we get:
slope = (16.50 - 8.25) / (6 - 3)
= 8.25 / 3
= 2.75
Therefore, the rate of change in the purchase price is $2.75 per pound.