Question
Duncan works at a banquet hall and is setting tables for a wedding reception. He starts with a pile of 144 salad plates, and he places 10 salad plates on every table he sets.
Write an equation that shows how the number of salad plates remaining, y, depends on the number of tables Duncan sets, x.
Write an equation that shows how the number of salad plates remaining, y, depends on the number of tables Duncan sets, x.
Answers
GPT-4o mini
To determine the number of salad plates remaining, we can create an equation based on the information given.
Duncan starts with 144 salad plates and uses 10 plates for each table he sets. If \( x \) is the number of tables set, then the total number of plates used will be \( 10x \).
The equation that shows the number of salad plates remaining (\( y \)) as a function of the number of tables set (\( x \)) can be expressed as:
\[
y = 144 - 10x
\]
In this equation:
- \( y \) represents the number of salad plates remaining,
- \( x \) represents the number of tables set, and
- \( 144 - 10x \) calculates the remaining salad plates after setting up the tables.
Duncan starts with 144 salad plates and uses 10 plates for each table he sets. If \( x \) is the number of tables set, then the total number of plates used will be \( 10x \).
The equation that shows the number of salad plates remaining (\( y \)) as a function of the number of tables set (\( x \)) can be expressed as:
\[
y = 144 - 10x
\]
In this equation:
- \( y \) represents the number of salad plates remaining,
- \( x \) represents the number of tables set, and
- \( 144 - 10x \) calculates the remaining salad plates after setting up the tables.