Audrey just lit a new candle and then let it burn all the way down to nothing. The
initial length of the candle was 15 inches and the candle burned at a rate of 1.5 inches
per hour. Write an equation for the function L(t), representing the length of the
candle remaining unburned, in inches, t hours after the candle was lit.

Respuesta :

Answer:

h = 15 - 1.5 t

Step-by-step explanation:

In this example, I made h height.

For this situation, you would use y=mx+b.

If we use this formula, m would be slope. 1.5 is the slope and we are decreasing the size of the candle, which makes -1.5.

x would be t because that's the independent variable.

Since the initial height was 15 inches, 15 would be our starting point or y-intersept, which is b.

So if you put that together, you get h=-1.5t+15.

You can rearrange that to the answer above.

The equation of the function L(t) representing the length of the candle remaining unburned in inches , t hours after the candle was lit is L(t) =  15 - 1.5t

Initial length of the candle = 15 inches

The candle burn at the rate 1.5 inches per hour. The means at each hour, the candle reduces in size by 1.5 inches.

L(t) = length of the candle remaining unburned in inches

t = hours after the candle was lit.

Therefore, the equation of the function L(t) representing the length of the candle remaining unburned in inches , t hours after the candle was lit is represented as follows

  • L(t) =  15 - 1.5t
  • L(t) = -1.5t + 15

The initial length of the candle, 15 inches is just like a constant in the equation.

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