Question

cost of broccoli per pound (3,8.25) and (6,16.50) what is the rate in change in dollars per pound

Answer 1

To find the rate of change in terms of dollars per pound, you can use the formula for the slope of a line, which is given by:

\[
\text{Rate of Change} = \frac{\text{Change in Price}}{\text{Change in Quantity}}
\]

From the points (3, 8.25) and (6, 16.50):

- The first point (3, 8.25) indicates that at 3 pounds, the cost is $8.25.
- The second point (6, 16.50) indicates that at 6 pounds, the cost is $16.50.

Now, calculate the change in price and change in quantity:

- Change in Price: \( 16.50 - 8.25 = 8.25 \) dollars
- Change in Quantity: \( 6 - 3 = 3 \) pounds

Now plug these values into the formula:

\[
\text{Rate of Change} = \frac{8.25}{3} = 2.75 \text{ dollars per pound}
\]

Thus, the rate of change in the cost of broccoli is **$2.75 per pound**.