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Charmaine plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

Question

Charmaine plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

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Solution

Break Down the Problem

  1. Identify variables:
    • Let n n represent the total number of movies watched.
    • Let m m represent the number of months.
  2. Determine the constant rate:
    • Charmaine watches 3 movies each month.

Relevant Concepts

The relationship between the total number of movies watched and the number of months can be expressed using a linear equation, specifically: n=3m n = 3m

Analysis and Detail

In this scenario:

  • For every month m m , Charmaine watches 3 movies.
  • Therefore, if she watches movies for m m months, the total number of movies n n can be calculated by multiplying the number of months by the number of movies watched per month.

Verify and Summarize

To verify, if Charmaine watched movies for:

  • 1 month: n=3×1=3 n = 3 \times 1 = 3
  • 2 months: n=3×2=6 n = 3 \times 2 = 6
  • 3 months: n=3×3=9 n = 3 \times 3 = 9

Correctly reflects the pattern that for every month added, 3 more movies are watched.

Final Answer

The equation representing the total number of movies n n that Charmaine will watch in m m months is: n=3m n = 3m

This problem has been solved

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