Answer :
Answer:
c = 15: The height of candle is 15 inches when it is not lit.
m = -1.6: The height of candle decreases 1.6 inches for every hour it is lit.
Step-by-step explanation:
We are given the following in the question:
Height of candle = 15 inches
[tex]f (t) = 15 - 1.6 t[/tex]
This function gives the length of the candle in inches left after it was burn for t hours.
Comparing the given equation to a linear equation, we have:
[tex]y = mx + c[/tex]
where m is the slope and c is the y-intercept.
Comparing we, get
m = -1.6 and c = 15
Interpretation:
c = 15 mean the y-intercept is 15 that is he value of function when t = 0, thus, the height of candle is 15 inches when it is not lit.
m = -1.6 is the rate of change of the function when t increases by 1 unit that is the height of candle decreases 1.6 inches for every hour it is lit.