A campfire has a flame 24 inches tall after burning for 4 hours. After 6 hours, it is 20 inches tall. Write a linear equation to model the relationship between height h of the fire and time t. Predict how tall the fire will be after burning 8 hours.

Question

show work:_____
height of fire after 8 hours?:_______

Answer 1

You have two points: (4,24) and (6,20)
The slope of that line is -2
so the equation in point-slope form is
y-24 = -2(x-4)
now plug in x=8

or, look at the data to see that it burned 4 inches in two hours, so it will burn another 4 inches in the next two hours.