Both candles are 25cm tall. The green candle melts down in 20 minutes and the orange in 25 minutes. What are equations for both of these lines so I can graph them? How much did the orange candle melt down in 5 minutes? How much taller is orange candle after 12 minutes? After how many minutes is the orange candle 4.5cm taller than the green?

Nevermind! Sorry.

Did you know?

Did you know that mathematical equations can be used to graph the melting rates of candles? By measuring the time it takes for two candles to melt, we can create equations for their melting lines. For instance, let's consider a green candle that melts down in 20 minutes and an orange candle that melts down in 25 minutes. To graph these lines, we can use the equation y = mx + b, where y represents the height of the candle, x represents time in minutes, m represents the melting rate (or slope of the line), and b represents the initial height of the candle. To find out how much the orange candle melts down in 5 minutes, we can plug in x = 5 into the equation for the orange candle's line. Similarly, to determine the height of the orange candle after 12 minutes, we can substitute x = 12 into the equation. Moreover, if we want to know when the orange candle is 4.5cm taller than the green, we can set the two equations equal to each other and solve for x. This will give us the number of minutes it takes for the orange candle to be 4.5cm taller than the green. Math allows us to explore and understand various real-life scenarios, even candles melting!