Question

5. At midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate of 0.75 inches per hour.

(a) Write the point-slope form of the function that gives the height of the candle, h, in inches, as a function of time, t, in minutes past midnight, as the candle burns.

Answer 1

Explanation:

Answer 2

The equation is;

y-4 = 0.75(x-15)

Explanation:

Here, we want to write a point-slope form equation

A point-slope equation is of the form;

y-y1 = m(x-x1)

Firstly, we need the slope of the equation

The slope is m

with respect to the question, this is 0.75 inches per hour

The point we are considering would be (15,4)

So we have the equation as;

y-4 = 0.75(x-15)