Question
When Emmy went to bed, it was a frigid 9°F outside. The temperature has been dropping 2°F each hour.
Write an equation that shows the relationship between the number of hours since Emmy went to bed, x, and the temperature in °F, y.
y=
Write an equation that shows the relationship between the number of hours since Emmy went to bed, x, and the temperature in °F, y.
y=
Answers
GPT-4o mini
To express the relationship between the number of hours since Emmy went to bed (x) and the temperature in degrees Fahrenheit (y), we can start with the initial temperature and then account for the decrease in temperature over time.
Emmy went to bed at 9°F, and the temperature is dropping by 2°F for each hour. Thus, the equation can be written as:
\[
y = 9 - 2x
\]
where:
- \(y\) is the temperature in °F,
- \(x\) is the number of hours since Emmy went to bed.
This equation indicates that for each hour that passes (increased \(x\)), the temperature \(y\) decreases by 2°F.
Emmy went to bed at 9°F, and the temperature is dropping by 2°F for each hour. Thus, the equation can be written as:
\[
y = 9 - 2x
\]
where:
- \(y\) is the temperature in °F,
- \(x\) is the number of hours since Emmy went to bed.
This equation indicates that for each hour that passes (increased \(x\)), the temperature \(y\) decreases by 2°F.