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The problem asks for an equation to describe the relationship between the number of words Mrs. Lopez types and the number of minutes she types, given that she types at a constant rate and the constant of proportionality is 38.

### Solution:
Let:
- \( w \) represent the number of words she types,
- \( m \) represent the number of minutes she types.

Since the relationship is proportional, we can use the formula for direct proportionality:
\[
w = 38m
\]
This equation shows that the number of words \( w \) is 38 times the number of minutes \( m \).

Would you like further explanation or examples?

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Here are 5 related questions to explore:

1. If Mrs. Lopez types for 5 minutes, how many words will she type?
2. How long would it take her to type 190 words?
3. If Mrs. Lopez’s typing speed increases to 45 words per minute, how would the equation change?
4. What is the graphical representation of the equation \( w = 38m \)?
5. How would the equation look if the constant was 50 instead of 38?

**Tip:** In direct proportionality problems, the constant represents the rate at which one quantity changes with respect to another.

Mrs. Lopez types at a constant rate. The constant of proportionality for the relationship between the number of words she types, w, and the number of minutes she types, m, is 38. Write an equation to show this relationship.

Understand how to calculate the number of words typed based on the number of minutes Mrs. Lopez types at a constant rate of 38 words per minute. This problem illustrates the concept of direct proportionality, suitable for students in Grades 6-8.

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