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

Cheyenne Newton

2 September, 02:46

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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Ishaan Foster · 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