The Graph shows the relationship of the height of a burning candle over time. What function represents the relationship ?

The correct answer is: y = x + 10

Let height of the candle = y in.
Time taken = x hour
In the figure, initial height of candle = 10 in.
i.e. when time, x = 0 hr then height of candle, x = 10 in.
Intercept c = 10 in.
Also, constant rate at which candle burns = 1 inch per hour
We know that rate of change is given by slope of the graph
 Slope, m = 1
Using slope intercept form y = mx + c

We get, y = x + 10
Hence, the function represents the relationship of the height of a burning candle over time is y = x + 10