A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit
1 answer:
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.
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Answer:
The positive graph is on the points (-5,-4) and (2,5)
And, negative would be (-4,2)
Step-by-step explanation:
As it seems that fgraph shows positive in the case when it is over x-axis, and negative when it is below y-axis
As on the interval (-1,5)
The graph is below x-axis i.e. on (-1,2)
And, over x-axis i.e. on (2,5)
At this point Lonzell’s is not correct
As on the interval (-5,-1)
The graph is below x-axis i.e. on (-4,-1)
And, over x-axis i.e. on (-5,4)
At this point Lonzell’s is not correct
So,
The positive graph is on the points (-5,-4) and (2,5)
And, negative would be (-4,2)
