The generic equation of the line is:

Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:

Substituting values we have:

Rewriting:


Then, choosing an ordered pair we have:

Substituting values we have:

Rewriting the equation:

Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours
Solution:
we are given that
Kathy stood on the middle rung of a ladder.
Since she climbed up 44 rungs, moved down 33 rungs...total up move of 44-33=11 rungs
Then climbed up 99 rungs. so a total of 11+99=110 rungs up.
Then she climbed up the remaining 33 rungs to the top of the ladder so total up move by 110+33=143 rungs
Since Kathy stood on the middle rung of a ladder so number of rungs=143x2=186
Now add the middle rungs.
Total number of rungs in the whole ladder=186+1=187
Answer:
8/15
Step-by-step explanation: