Question

PLEASE HELP!!! 50 POINTS!!!!!
The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of -0.6.

Suppose that the height of the candle after 17 hours is 13.8 centimeters. What was the height of the candle after 8 hours?

Answer 1

The height of the candle after 8 hours is 19.2 centimeters

How to determine the height of the candle after 8 hours?

The given parameters are:

Slope, m = -0.6

Points: (x, y) = (17, 13.8)

A linear equation can be represented as:

y = m(x - x1) + y1

Substitute the points (x, y) = (17, 13.8) in the above equation y = m(x - x1) + y1

So, we have

y = m(x - 17) + 13.8

The slope is -0.6

So, we have:

y = -0.6(x - 17) + 13.8

After 8 hours, we have

x = 8

Substitute x = 8 in y = -0.6(x - 17) + 13.8

y = -0.6(8 - 17) + 13.8

Evaluate

y = 19.2

Hence, the height of the candle after 8 hours is 19.2 centimeters

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