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Mathematics 24 Online
OpenStudy (anonymous):

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 13 hours of burning, a candle has a height of 14.5 centimeters. After 30 hours of burning, its height is 6 centimeters. What is the height of the candle after 22 hours?

OpenStudy (nubeer):

hours height 0

OpenStudy (anonymous):

eq:(h-14.5) = (13 - 30)/(14.5 -6) * (t - 13)

OpenStudy (anonymous):

now plugin the value for time i.e. 22 and you get your answer

OpenStudy (anonymous):

ref: this form is commonly known as the 2 point form of the line

OpenStudy (anonymous):

since height and time are inversely proportional: 17-k/6 k-102 9-102/x x- 11.33 cm

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