Question

Fawzia just lit a new candle and then let it burn all the way down to nothing. Thecandle burned at a rate of 1.5 inches per hour and its initial length was 15 inches.Make a table of values and then write an equation for L, in terms of t, representingthe length of the candle remaining unburned, in inches, t hours after the candle waslit.

Answer 1

Given:

Fawzia just lit a new candle and then let it burn all the way down to nothing. The

candle burned at a rate of 1.5 inches per hour and its initial length was 15 inches.

Required:

To write the equation.

Step-by-step explanation:

Now make a table

Number of hours Length of the candle remaining

0 15

1 13.5

2 12

3 10.5

Here the general foem of equation is

`L=mt+b`

Where m is the slope

`\begin{gathered} m=(13.5-15)/(1-0) \\ \\ =(-1.5)/(1) \\ \\ =-1.5 \end{gathered}`

Now the equation is

`L=-1.5t+b`

Now we have to find the value of b, by consider (0,15)

`\begin{gathered} 15=0+b \\ b=15 \end{gathered}`

Now the equation is

`L=-1.5t+15`

Final Answer:

`L=-1.5t+15`