suppose that the height of a candle is a linear function of the amount of time it has been burning. after 14 hours of burning a candle has a height of 19.8 CM after 27 hours of burning, it's height is 15.9 CM what is the height of the candle after 25 hours

16.5 cm

Step-by-step explanation:

Rate of burning, R = (height1 - height2) / time of burning

So, R = (19.8cm - 15.9cm) / (27hr - 14hr)

R = 3.9cm / 13hr = 0.3 cm/hr

Now for finding initial height (x) of candle using the same formula but this time we have found the rate of burning

So, 0.3 cm/hr = (x - 19.8cm/hr) / 14hr

0.3 cm/hr x 14hr = x - 19.8cm/hr

so we get x = 24 cm

Now as we got the initial height of the candle now we can get the height (y) after burning for 25 hours.

0.3 cm/hr = (24cm - y) / 25hr

0.3 cm/hr x 25hr = 24cm - y

y = 24cm - 7.5cm = 16.5 cm

So the height of candle after burning for 25 hours is 16.5 cm.