Question

A student in a Grade 9 math class has recorded the following data from observing a burning candle that his parent lit during the holiday season. The candle is 21 cm long with a diameter of 2 cm. Time (min) Height (cm) O 21 2 4 6 8 19.5 18 16.5 15

Answer 1

Answer:

Data given:

The data describing the observations made for a burning candle that was lit during the holiday session is given below as -

Candle is 21 cm long with a diameter of 2 cm.

Time (minutes)	Height (cm)
0	21
2	19.5
4	18
6	16.5
8	15

As we know, the slope between the two points and   is calculated as -

$Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Now, using the above information, we can find the slope of this relationship as -

Time (minutes)	Height (cm)	Slope between successive points
0	21
2	19.5	$Slope = \frac{19.5 - 21}{2-0} = \frac{-1.5}{2} = -0.75$
4	18	$Slope = \frac{18-19.5 }{4-2} = \frac{-1.5}{2} = -0.75$
6	16.5	$Slope = \frac{16.5-18}{6-4} = \frac{-1.5}{2} = -0.75$
8	15	$Slope = \frac{15 - 16.5}{8-6} = \frac{-1.5}{2} = -0.75$

Therefore, the slope of this relationship describes the rate of change of the height of the candle with time, and is equal to -0.75 cm per minute.

In the given experiment, the slope tells us that the height of a burning candle reduces by 0.75 cm every minute.