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

Answer 1

To find the rate of change (slope) of the cost of broccoli per pound based on the points (3, 8.25) and (6, 16.50), we can use the formula for the slope between two points, which is:

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

Where:
- \( (x_1, y_1) = (3, 8.25) \)
- \( (x_2, y_2) = (6, 16.50) \)

Now, substitute the values into the formula:

\[
m = \frac{16.50 - 8.25}{6 - 3}
\]

Calculating the numerator:

\[
16.50 - 8.25 = 8.25
\]

Calculating the denominator:

\[
6 - 3 = 3
\]

Now, substitute those results into the formula:

\[
m = \frac{8.25}{3} = 2.75
\]

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