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

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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