A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit
1 answer:
Given:
The temperature recorded at 10:00 am is 8 degrees Fahrenheit.
The temperature decreases by 3 degrees Fahrenheit each hour.
To find:
The temperature at 2:00 pm on the same day.
Solution:
Let y represent the temperature after x hours since 10:00 am.
The temperature at 10:00 am serves as the initial temperature.
Thus, the y-intercept of the linear equation is 8.
The temperature reduces by 3 degrees Fahrenheit every hour.
This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.
The slope-intercept form of a linear function is indicated by
where m is the slope and b is the y-intercept.
Inserting m=-3 and y=8 into the above equation gives us the required values.
From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.
Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.
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