A linear graph of the cost of broccoli in dollars per pound has the pints (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 in dollars per pound, we need to determine the slope of the linear graph.
Let's denote the cost of broccoli in dollars per pound as y and the quantity of broccoli in pounds as x.
We are given two points on the graph: (3, 8.25) and (6, 16.50).
Using the slope formula, we have:
slope = (y2 - y1) / (x2 - x1),
where (x1, y1) = (3, 8.25) and (x2, y2) = (6, 16.50).
Substituting the values, we get:
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 dollars per pound.