Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
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Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
Given that the velocity is directly proportional to the acceleration and given that the acceleration is constant, the graph must be a straight line.
The diagram that describes this is (d).
Is the function in the graph decreasing?
A candle burns at a constant rate, meaning it loses the same amount of length each minute. This creates a linear relationship - always a straight line on a graph.
The line must go down (negative slope) because the candle gets shorter as time passes. An upward line would mean the candle is growing, which is impossible!
Start at the y-intercept showing the candle's original length when time = 0. End when the candle is completely burned (length = 0).
The graph is still a straight line, but the slope changes. Faster burning = steeper negative slope. Slower burning = gentler negative slope. Always linear though!
No! A curved line would mean the burning rate changes over time. Real candles burn at roughly constant rates, so the relationship stays linear.
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