Question

A candle is 12in tall after burning for 2 hours. After 6 hours, it is 8in tall. Write a linear equation to model the relationship between height h of the candle and time t. How tall was the candle before burning/ predict how tall the candle will be after burning 10 hours. Please show steps too, thanks!

Answer 1

h=12, when t=2
h=8, when t=6
h=?, when t=10
m=(h2-h1)/(t2-t1)
m=(8-12)/(6-2)
m=(-4)/(4)
m=-1
h=mt+b
12=-1(2)+b
12=-2+b
12-(-2)=b
14=b
h=-1t+14
Before burning, the height was 14in
After 10 hours, the height would be 4in