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 15 hours of burning, a candle has a height of 19 centimeters. After 32 hours of burning, its height is 12.2 centimeters. What is the height of the candle after 28 hours?

Question

Mathematics

Drew Williamson

18 March, 07:13

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 15 hours of burning, a candle has a height of 19 centimeters. After 32 hours of burning, its height is 12.2 centimeters. What is the height of the candle after 28 hours?

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Answers (1)

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Logan Soto · Answer 1

24.2 centimeters

Step-by-step explanation:

for height = f (time)

let x be the value of the height at 28hours

solving linearly

(28 - 15) / (32 - 15) = (x - 19) / (12.2 - 19)

solving we have

13/17 = (x - 19) / 6.8

0.7647 = (x - 19) / 6.8

cross multiplying,

x - 19 = 5.2

x = 5.2 + 19 = 24.2centimetres