Questions: Multiple Choice Question When the product price falls from 80 to 60, the quantity demanded rises from 500 to 800 units. The slope in this range is: -0.29. -0.067 0.46. -15.

Multiple Choice Question

When the product price falls from 80 to 60, the quantity demanded rises from 500 to 800 units. The slope in this range is:
-0.29.
-0.067
0.46.
-15.
Transcript text: Multiple Choice Question When the product price falls from $\$ 80$ to $\$ 60$, the quantity demanded rises from 500 to 800 units. The slope in this range is: -0.29 . $-0.067$ 0.46. $-15$.
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Solution

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The answer is the last one: \(-15\).

To find the slope of the demand curve in this range, we use the formula for the slope of a line, which is the change in quantity demanded divided by the change in price:

\[ \text{Slope} = \frac{\Delta Q}{\Delta P} \]

Where:

  • \(\Delta Q\) is the change in quantity demanded.
  • \(\Delta P\) is the change in price.

Given:

  • Initial price \(P_1 = \$80\)
  • Final price \(P_2 = \$60\)
  • Initial quantity demanded \(Q_1 = 500\)
  • Final quantity demanded \(Q_2 = 800\)

Calculate the changes:

  • \(\Delta Q = Q_2 - Q_1 = 800 - 500 = 300\)
  • \(\Delta P = P_2 - P_1 = 60 - 80 = -20\)

Now, substitute these values into the slope formula:

\[ \text{Slope} = \frac{300}{-20} = -15 \]

Explanation for each option:

  • \(-0.29\): Incorrect. This does not match the calculated slope.
  • \(-0.067\): Incorrect. This does not match the calculated slope.
  • \(0.46\): Incorrect. This does not match the calculated slope.
  • \(-15\): Correct. This matches the calculated slope.

In summary, the slope of the demand curve in this range is \(-15\).

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