Question
When Patty wakes up, there are 6 inches of snow on the ground. As the snow continues to fall, the depth of the snow increases by 2 inches per hour.
Write an equation that shows the relationship between x, the number of hours after Patty wakes up, and y, the depth of the snow in inches.
Write an equation that shows the relationship between x, the number of hours after Patty wakes up, and y, the depth of the snow in inches.
Answers
GPT-4o mini
To express the relationship between the number of hours after Patty wakes up (x) and the depth of the snow in inches (y), we can formulate a linear equation.
When Patty wakes up, there is already 6 inches of snow on the ground. The snow depth increases by 2 inches for every hour that passes.
We can represent this relationship with the following equation:
\[ y = 6 + 2x \]
In this equation:
- \( y \) is the depth of the snow in inches.
- \( x \) is the number of hours after Patty wakes up.
- The constant 6 represents the initial depth of the snow.
- The coefficient 2 represents the rate at which the snow depth increases per hour.
When Patty wakes up, there is already 6 inches of snow on the ground. The snow depth increases by 2 inches for every hour that passes.
We can represent this relationship with the following equation:
\[ y = 6 + 2x \]
In this equation:
- \( y \) is the depth of the snow in inches.
- \( x \) is the number of hours after Patty wakes up.
- The constant 6 represents the initial depth of the snow.
- The coefficient 2 represents the rate at which the snow depth increases per hour.