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?

Question

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?

nubeer · Answer

hours        height
  0

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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