Math Problem Statement

Hitunglah kurva ini

Hitunglah kurva ini

Solution

This image provides information on two sets of price and quantity values, as well as a formula that appears to be for calculating the slope of a demand or supply curve. The values given are:

  • P1=10,000P_1 = 10,000, Q1=1000Q_1 = 1000
  • P2=12,000P_2 = 12,000, Q2=2000Q_2 = 2000

The formula shown is:

QQ1PP1=Q2Q1P2P1\frac{Q - Q_1}{P - P_1} = \frac{Q_2 - Q_1}{P_2 - P_1}

To calculate the slope, we can substitute the values into this formula:

  1. Calculate Q2Q1=20001000=1000Q_2 - Q_1 = 2000 - 1000 = 1000
  2. Calculate P2P1=12,00010,000=2000P_2 - P_1 = 12,000 - 10,000 = 2000

Thus, the slope is:

Q2Q1P2P1=10002000=0.5\frac{Q_2 - Q_1}{P_2 - P_1} = \frac{1000}{2000} = 0.5

This slope value (0.5) suggests that for every unit increase in price, the quantity increases by 0.5 units. Would you like more details on interpreting this result or how to proceed with plotting the curve?

Here are some related questions for deeper understanding:

  1. How does the slope affect the shape of the demand or supply curve?
  2. What would happen to the slope if the price difference were larger?
  3. Can this formula be used to predict QQ for any other price PP?
  4. How does this calculation relate to elasticity of demand?
  5. Could we derive a complete linear equation for the curve using these points?

Tip: When finding slopes between two points, remember that slope = change in yy over change in xx. In economics, this is often ΔQ/ΔP\Delta Q/\Delta P for price and quantity

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Math Problem Analysis

Mathematical Concepts

Slope Calculation
Demand or Supply Curve Analysis

Formulas

Slope formula for demand/supply curves: (Q - Q1) / (P - P1) = (Q2 - Q1) / (P2 - P1)

Theorems

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Suitable Grade Level

High School