SOLUTION: After 11 hours of burning, a candle has a height of 26.8 centimeters. After 23 hours of burning, its height is 24.4 centimeters. What is the height of the c

Algebra.Com
Question 1071964: After
11
hours of burning, a candle has a height of
26.8
centimeters. After
23
hours of burning, its height is
24.4
centimeters. What is the height of the candle after
20
hours?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
x time in hours
y candle height
Description gives two points (x,y):
(11,26.8) and (23, 24.4).

Slope, ;




Question is, what is candle height, y, after 20 hours?
Let x=20 and evaluate y.

Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
The linear interpolation between 11 hours and 23 hours gives the formula for the candle height


h(t) =  =   = ,


where t is the time of burning in hours (between 11 and 20).


Then h(20) =  = 25 cm.

Answer. 25 centimeters.



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