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Answer:
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
---- candle length
--- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
So, we have:
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set to calculate the time the candle burns out
Collect like terms.
Solve for t
Hence, the domain is:
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is:
Solving (d):
Recall that:
Sp, we have
Collect like terms
Divide by 12
Answer:
T == R + NH
Step-by-step explanation:
The fixed rate R is added to the hourly charges to get the total T. The hourly charges are the product of the number of hours and the charge per hour, NH.
The sum is then ...
... T = R + NH