After 6 hours of burning, a candle has a height of 24.4 centimeters. after 21 hours of burning, a height of 22.9 centimeters. what is the height of the candle after 12 hours

let y = height

let x = time

height is a linear function of time, so y = mx + b, where m is the slope and b is the y-intercept.

we can calculate the slope from the given values (8,20.4) and (19,18.2)

slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2

this means that the height of the candle is going down by 0.2 cm per hour

since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.

so the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters

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step-by-step explanation: