Question

Support at the height in centimeters of a candle is a linear function of them out of time in hours it has been burning after 12 hours of burning a candle has a height of 18.6 cm after 29 hours of burning its height is 15.2 Cm what is the height of the candle after 16 hours

Answer 1

h = m t +b
18.6 = m (12) + b
15.2 = m (29) + b
-------------------------subtract
3.4 = - 17 m
m = - 3.4 / 17 = - 0.2
go back and get b
15.2 = -0.2 (29) + b
b = 9.4
so
h = m t +b
is
h = -0.2 t + 21
so put in 16 for t