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](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/u7kkk4vwj5950stquodk.png)
Where m is the slope
![\begin{gathered} m=(13.5-15)/(1-0) \\ \\ =(-1.5)/(1) \\ \\ =-1.5 \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/49ahwswopxqb0gfw86gh.png)
Now the equation is
![L=-1.5t+b](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/daen1x1w9qy6vd12y29d.png)
Now we have to find the value of b, by consider (0,15)
![\begin{gathered} 15=0+b \\ b=15 \end{gathered}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/ljd4l1ai67fkwymfr9gw.png)
Now the equation is
![L=-1.5t+15](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/3p0yxakvsa8rqojt3rre.png)
Final Answer:
![L=-1.5t+15](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/3p0yxakvsa8rqojt3rre.png)