Slope in Real-World Problems Practice

Question

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5 of 55 of 5 Items

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:

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