Math Problem Statement

Soal kuis pre tes Matematika Bisnis 5 soal - Copy-2.docx

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Solution

The document contains a math quiz related to business mathematics. Here are the problems listed:

  1. Find the demand function that passes through points (3,3) and (2,4):

    • A. P = x + 6
    • B. P = -x + 6
    • C. P = 2x + 6
    • D. P = -2x + 6
    • E. P = x - 6
  2. Find the intersection point of the following lines:

    • Y=2+2xY = 2 + 2x
    • Y=102xY = 10 - 2x
    • A. (4,6)
    • B. (2,6)
    • C. (2,5)
    • D. (3,5)
    • E. (6,2)
  3. Given points A(2,8) and B(4,5), determine the slope of line AB:

    • A. 1.5
    • B. 0.5
    • C. -1.5
    • D. -1.2
    • E. -0.5
  4. Equation of a line passing through point (4,1) with a slope of 2:

    • A. Y=72xY = 7 - 2x
    • B. Y=92xY = 9 - 2x
    • C. Y=2x7Y = 2x - 7
    • D. Y=2x9Y = 2x - 9
    • E. Y=x+4Y = x + 4
  5. Find the value of 'a' so that the line Y=ax+2Y = ax + 2 is parallel to the line passing through (2,4) and (3,1):

    • A. -3
    • B. 3
    • C. 2
    • D. 4
    • E. -2

Would you like help solving these problems, or do you want explanations for any specific question?


Relative Questions:

  1. How do you calculate the slope of a line from two points?
  2. What is the equation of a line in slope-intercept form?
  3. How do you find the intersection of two lines?
  4. What does it mean for two lines to be parallel in terms of slope?
  5. How can you check if a point lies on a given line?

Tip: When finding the slope between two points, remember the formula m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the points.

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Math Problem Analysis

Mathematical Concepts

Linear equations
Slopes of lines
Intersection of lines
Parallel lines
Demand function

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)
Equation of a line: Y = mx + b
Parallel lines have equal slopes.

Theorems

Parallel line theorem

Suitable Grade Level

Grades 9-12