Question

matt got a new scented candle for his room. the height of the candle changed gradually as the candle burned. there is a linear relationship between the time, in hours, that the candle burns and height of the candle, in inches. time (hours) height (inches) 0 16 6 10 12 4 describe the rate of change for this relationship. the height of the candle by per hour.

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) formula for a linear relationship is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line. Let $x$ be the time (in hours) and $y$ be the height (in inches).

Step2: Select two points

We can take the points $(0,16)$ and $(6,10)$. Here $x_1 = 0,y_1=16,x_2 = 6,y_2 = 10$.

Step3: Calculate the rate of change

$m=\frac{10 - 16}{6-0}=\frac{- 6}{6}=-1$.

Answer:

The height of the candle decreases by 1 inch per hour.