y=-2x+12
y = the height of the candle in inches
x = the amount of time the candle burns
the height decreases 2 inches each hour so over by the first hour the candle will be 10 inches tall and so on
Answer:
Step-by-step explanation:
If the candle decreases in height by 2 inches every hour, the rate at which it is decreasing is linear and thus, it is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the initial height of the candle.
d represents the constant decrease in height per hour.
n represents the number of hours.
From the information given,
a = 12 inches
d = - 2 inches (the height is decreasing)
Therefore, the expression showing how the height will change over time is
Tn = 12 - 2(n - 1)
