Question

When Emmy went to bed, it was a frigid 8⁰F outside. The temperature has been dropping 2⁰F each hour. Write an equation that shows the relationship between the number of hours since Emmy went to bed, x and the temperature in⁰F , y.

Answer 1

The equation to represent the relationship between the number of hours since Emmy went to sleep and the temperature in degrees Fahrenheit is y = -2x + 8.

Step-by-step explanation:

To find the equation that shows the relationship between the number of hours since Emmy went to bed, x, and the temperature in degrees Fahrenheit, y, we can use a linear equation. We know that Emmy went to bed when it was 8 degrees Fahrenheit and that the temperature is dropping 2 degrees Fahrenheit each hour. Thus, the change in temperature over time can be represented as a decline of 2°F for each additional hour.

The equation that represents this situation is y = -2x + 8. Here, '-2' represents the hourly decrease in temperature, and '8' is the initial temperature when Emmy went to bed. Therefore, for each hour that passes, x, we subtract 2 from the initial temperature of 8 degrees.