Question

A linear graph of the cost of broccoli in 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?

Answer 1

The rate of change in the purchase price in dollars per pound can be calculated using the formula for the slope of a line:

slope = (change in y)/(change in x)

Let's calculate the change in y and change in x:
Change in y = 16.50 - 8.25 = 8.25
Change in x = 6 - 3 = 3

Now substitute these values into the formula for slope:
slope = 8.25/3 = 2.75

Therefore, the rate of change in the purchase price in dollars per pound is 2.75.