Math Problem Statement

To graph the demand curve:

  1. Set up a coordinate plane:

    • Label the x-axis as "Quantity Demanded (Qd)"
    • Label the y-axis as "Price (P)"
    • Scale the x-axis from 0 to 80
    • Scale the y-axis from 0 to 80 (in pesos ₱)
  2. Plot the following points:

    • (55, 25)
    • (45, 35)
    • (35, 45)
    • (0, 80) - y-intercept
    • (80, 0) - x-intercept
  3. Draw a straight line connecting all these points.

The resulting line would be downward-sloping from left to right, starting at the y-axis at ₱80 and ending at the x-axis at 80 units. This line represents the demand curve.

The equation of this line can be expressed as:

$P = -Qd + 80$

This graph would visually represent the inverse relationship between price and quantity demanded in Nita's demand for clothes.

If you need to create an actual graph, you could use graphing software, a spreadsheet program, or draw it by hand on graph paper using these instructions.

Solution

Here is the graph of the demand curve with the given points and the equation P=Qd+80P = -Qd + 80. The line shows the inverse relationship between price and quantity demanded, starting at ₱80 on the price axis and extending to 80 units on the quantity axis.

Would you like further details or have any questions?

Here are five related questions:

  1. What does the slope of the demand curve represent in economics?
  2. How would an increase in demand affect the position of the demand curve?
  3. What factors might shift the demand curve for a product like clothing?
  4. How do price ceilings affect the demand curve?
  5. How does the concept of elasticity relate to this demand curve?

Tip: The slope of a demand curve shows how sensitive quantity demanded is to changes in price—this is a key component in determining price elasticity of demand.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Coordinate Geometry

Formulas

Linear equation P = -Qd + 80

Theorems

Slope-intercept form of a line

Suitable Grade Level

Grades 9-12