Given:
Temperature at 10:00 am = 8 degrees Fahrenheit
Temperature drops by 3 degrees Fahrenheit every hour.
To find:
The temperature by 2:00pm of the same day.
Solution:
Let y be the temperature after x hour after 10:00 am.
The temperature at 10:00 am is the initial temperature.
So, y-intercept of the linear function is 8.
Temperature drops by 3 degrees Fahrenheit every hour.
So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.
Slope intercept form of a linear function is
where, m is slope and b is y-intercept.
Substitute m=-3 and y=8 in the above equation.
Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.
Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.