For Candle A you substitute 0 for t, to get the height at time zero, which would be 20 - 1.5(0) = 20.
For Candle B the height decreases by 5 every 2 seconds, so if it is 20 at t=2, it is 25 at time zero.
So candle B was taller originally.
Izeal L.
asked 10/19/20Madeline has two different candles made by two different companies. The length (in centimeters) of the first candle depends on its burning time t (in hours) according to the formula f(t)=20-1.5t. The length (in centimeters) of the second candle over time t (in hours) is displayed below in the table.
(Candle A is the with a formula)
(Candle B is the one with the table to support its height)
For Candle A you substitute 0 for t, to get the height at time zero, which would be 20 - 1.5(0) = 20.
For Candle B the height decreases by 5 every 2 seconds, so if it is 20 at t=2, it is 25 at time zero.
So candle B was taller originally.
Kyle P. answered 10/19/20
An Enthusiastic Tutor with Experience
We can set up the table as a formula as well by calculating the slope using 2 points:
m = rise/run = y2-y1/x2-x1 = 15-20/4-2 = -2.5
now we need to find the y-intercept of the table by using the slope intercept formula
y=mx+b
20 =2*-2.5+b so b=25
lets compare f(t) = 20-1.5t to s(t) = 25-2.5t at t=0 or before the candles started burning. Since f(0)=20 and s(0)=25, the candle with the table was initially longer
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Junior F.
Can you answer part b and c for me please? Part B is "Which candle loses its height faster when burning? Justify your answer" and Part C is "Madeline lit both candles simultaneously. How long will it take for each candle to burn to the end? Justify your answer."10/30/20