Math Problem Statement

Answer this

Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.

Solution

The graph provided shows a straight line with a negative slope, meaning it decreases as it moves from left to right.

This is a linear decreasing graph, not exponential decay. Exponential decay refers to a curve that decreases rapidly at first and then levels out, not a straight line.

The correct answer should be:

D. Linear decreasing

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. How can you differentiate between linear and exponential graphs visually?
  2. What is the general equation for a linear function?
  3. How can you identify exponential decay on a graph?
  4. What are some real-world examples of linear decreasing functions?
  5. How does the slope of a line affect whether it's increasing or decreasing?

Tip: A straight line on a graph always represents a linear function, and the slope determines whether it's increasing or decreasing.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Graph Analysis

Formulas

Slope-intercept form y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9