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.
Write an equation that shows the relationship between the number of hours since Emmy went to bed, x, and the temperature in °F, y.
Answers
GPT-4o mini
To express the relationship between the number of hours since Emmy went to bed (denoted as \( x \)) and the temperature in degrees Fahrenheit (denoted as \( y \)), you can start with the initial temperature and account for the decrease over time.
Emmy went to bed when the temperature was 9°F. Since the temperature drops by 2°F for each hour, you can express the temperature after \( x \) hours as:
\[
y = 9 - 2x
\]
In this equation:
- \( y \) is the temperature in °F.
- \( x \) is the number of hours since Emmy went to bed.
- The term \( 9 \) represents the initial temperature, and \( -2x \) accounts for the decrease in temperature over time.
Emmy went to bed when the temperature was 9°F. Since the temperature drops by 2°F for each hour, you can express the temperature after \( x \) hours as:
\[
y = 9 - 2x
\]
In this equation:
- \( y \) is the temperature in °F.
- \( x \) is the number of hours since Emmy went to bed.
- The term \( 9 \) represents the initial temperature, and \( -2x \) accounts for the decrease in temperature over time.