the temperature has been changing at a rate of-2 degrees fareinheit per hour and is predicted to continue at this rate. The temperature now is 0 degree fareinheit. what was the temperature 3 hours ago? what temperature can be predicted 5 hrs. from now?
if now is time t=0, then the temperature at any time t is -2t.
So, we want
-2(-3)
and
-2(5)
To find the temperature 3 hours ago, we need to subtract the temperature change from the current temperature.
Since the temperature is changing at a rate of -2 degrees Fahrenheit per hour, we need to subtract (-2 * 3) from the current temperature of 0 degrees Fahrenheit.
(-2 * 3) = -6 degrees Fahrenheit
So, the temperature 3 hours ago would be 0 degrees Fahrenheit minus 6 degrees Fahrenheit, which equals -6 degrees Fahrenheit.
Now, to predict the temperature 5 hours from now, we need to add the temperature change to the current temperature.
Since the temperature is changing at a rate of -2 degrees Fahrenheit per hour, we need to add (-2 * 5) to the current temperature of 0 degrees Fahrenheit.
(-2 * 5) = -10 degrees Fahrenheit
So, the predicted temperature 5 hours from now would be 0 degrees Fahrenheit plus -10 degrees Fahrenheit, which equals -10 degrees Fahrenheit.