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 11 hours of burning, a candle has a height of 27.8 centimeters. After 26 hours of burning, its height is 24.8 centimeters. What is the height of the candle after 23 hours?

Answer:Hey! The answer is 25,4 centimeters.Step-by-step explanation:In a linear function you can use y=mx+nSo if x = hours and y= height.You know that [tex]\left \{ {{27,8=11m +n} \atop {24,8=26m +n}} \right.[/tex]So: If you multiply (24,8=26m +n) x-1It is: -24,8 = -26m -nAdding up the other equation-24,8 = -26m -n27,8 = 11m + n3 = -15mm= -0,2So27,8 = 11 x 0,2 + n27,8 = -2,2 + n30 = nThis results that te linear function for this equation is:y = -0,2x + 30The answer is y=23(-0,2) + 30y=-4,6+30y=25,4