Question

hello, I need help asap on this following problem. I don’t know how to approach and don’t want to get it wrong.

Answer 1

The slope-intercept form of a line equation is given by:

`y=mx+b`

Where m is the slope of the line and b is the y-intercept. From the problem, we identify:

`m=-0.6`

To find b, we use the fact that when x = 20, y = 13:

`\begin{gathered} 13=(-0.6)20+b \\ 13=-12+b \\ \\ \Rightarrow b=25 \end{gathered}`

Finally, for x = 16 (the corresponding y is the height of the candle after 16 hours):

`\begin{gathered} y=-0.6(16)+25=-9.6+25 \\ \\ \therefore y=15.4\text{ cm} \end{gathered}`