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?

$[ ] per pound

Answer 1

The rate of change in the purchase price can be found by calculating the slope of the line passing through the two points.

First, determine the change in price:

Change in price = $16.50 - $8.25 = $8.25

Next, determine the change in quantity:

Change in quantity = 6 - 3 = 3 pounds

Now, calculate the rate of change in price per pound:

Rate of change = Change in price / Change in quantity
Rate of change = $8.25 / 3 pounds
Rate of change = $2.75 per pound

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