Question
When Mitchell got home from school, the temperature outside was 53°F. The temperature has been going down 3°F each hour.
Write an equation that shows the relationship between x, the number of hours since Mitchell got home, and y, the temperature outside in °F.
y=
Write an equation that shows the relationship between x, the number of hours since Mitchell got home, and y, the temperature outside in °F.
y=
Answers
GPT-4o mini
To express the relationship between the number of hours since Mitchell got home and the temperature outside, we start with the initial temperature and consider the rate of decrease.
The initial temperature when Mitchell got home is 53°F. The temperature decreases by 3°F for each hour that passes.
We can represent this relationship with the following equation:
\[
y = 53 - 3x
\]
In this equation:
- \(y\) is the temperature outside in °F,
- \(x\) is the number of hours since Mitchell got home.
So, as time passes (as \(x\) increases), \(y\) will decrease based on the consistent rate of 3°F per hour.
The initial temperature when Mitchell got home is 53°F. The temperature decreases by 3°F for each hour that passes.
We can represent this relationship with the following equation:
\[
y = 53 - 3x
\]
In this equation:
- \(y\) is the temperature outside in °F,
- \(x\) is the number of hours since Mitchell got home.
So, as time passes (as \(x\) increases), \(y\) will decrease based on the consistent rate of 3°F per hour.