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 (denoted as \( x \)) and the temperature in °F (denoted as \( y \)), we need to consider that the initial temperature when she went to bed was 9°F and it decreases by 2°F for each hour that passes.
The equation can be constructed as follows:
1. The initial temperature when \( x = 0 \) (when she goes to bed) is \( 9°F \).
2. For each hour that passes, the temperature decreases by \( 2°F \).
Thus, after \( x \) hours, the temperature can be expressed as:
\[
y = 9 - 2x
\]
This equation shows that \( y \) (the temperature in °F) decreases from 9°F by 2°F for every hour \( x \) that passes.
The equation can be constructed as follows:
1. The initial temperature when \( x = 0 \) (when she goes to bed) is \( 9°F \).
2. For each hour that passes, the temperature decreases by \( 2°F \).
Thus, after \( x \) hours, the temperature can be expressed as:
\[
y = 9 - 2x
\]
This equation shows that \( y \) (the temperature in °F) decreases from 9°F by 2°F for every hour \( x \) that passes.