Question

Slope in Real-World Problems Practice
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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 Attem

Answer 1

To find the rate of change (slope) in the purchase price of broccoli per pound, we can use the formula for slope, which is:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the points given. In this case, the points are:

\((3, 8.25)\) and \((6, 16.50)\).

Assigning the values:
- \(x_1 = 3\),
- \(y_1 = 8.25\),
- \(x_2 = 6\),
- \(y_2 = 16.50\).

Now, plug these values into the slope formula:

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

Calculating the differences:

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

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

\[
\boxed{2.75} \text{ dollars per pound}
\]