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?(1 point)
$
per pound
Remaining Attempts : 3

1 answer

To find the rate of change of the purchase price of broccoli in dollars per pound between the points (3, 8.25) and (6, 16.50), we can use the formula for the slope of a line, which is given by:

\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, (x₁, y₁) = (3, 8.25) and (x₂, y₂) = (6, 16.50).

Now, substituting the values:

\[ \text{slope} = \frac{16.50 - 8.25}{6 - 3} \] \[ = \frac{8.25}{3} \] \[ = 2.75 \]

Thus, the rate of change in the purchase price is:

\[ \text{$} 2.75 \text{ per pound} \]

So the answer is $2.75 per pound.