Question
Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x.
Answers
GPT-4o mini
To write an equation that shows the total number of lessons Regan has completed, \( y \), as a function of the number of months of the school year that have passed, \( x \), we can start by considering the information given:
- Regan completed 5 lessons over the summer.
- After the summer, she will complete 1 lesson per month during the school year.
Therefore, after \( x \) months of the school year have passed, the number of additional lessons she completes is \( 1 \cdot x \).
Thus, the total number of lessons she has completed after \( x \) months is:
\[
y = 5 + x
\]
The equation \( y = 5 + x \) represents the total number of lessons Regan has completed, where \( y \) is the total number of lessons and \( x \) is the number of months of the school year that have passed.
- Regan completed 5 lessons over the summer.
- After the summer, she will complete 1 lesson per month during the school year.
Therefore, after \( x \) months of the school year have passed, the number of additional lessons she completes is \( 1 \cdot x \).
Thus, the total number of lessons she has completed after \( x \) months is:
\[
y = 5 + x
\]
The equation \( y = 5 + x \) represents the total number of lessons Regan has completed, where \( y \) is the total number of lessons and \( x \) is the number of months of the school year that have passed.