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Answer:
Step-by-step explanation:
Let the outside temperature be degree.
So, when degree, number of members,
Now, for every degree rise in temperature, 10 members gets added.
So, when the temperature is degrees, rise in temperature is
degrees.
Therefore,
For degrees rise, number of members added =
Hence, total number of members added as a function of temperature is given as the sum of members at degrees and for
degrees rise. This gives,
Given:
The length of the candle remaining unburned, in inches, can be modeled by the equation
where, t represents the number of hours since the candle was lit.
To find:
The slope and its interpretation in the context of the problem.
Solution:
Slope intercept form of a linear function is
where, m is slope and b is y-intercept or initial value.
We have,
It can be written as
The coefficient of t is -1. So, using slope intercept form the slope of this equation is -1.
Here, -1 means length of the candle remaining unburned is decreasing at the rate of 1 inch per hour.