Question

On a snowy winters eve two candles are lit at the exact same time. A 18-inch candle and a 21-inch candle are lit at the exact same time. The 18-inch candle burns 2 inches every hour. The 21-inch candle burns 3 inches every hour. Create a system of equations using the information

Answer 1

y=21-3x and y=18-2x

Explanation:

Ok, so we have candle A, which is 21 inches and burns 3 inches every hour. in slope-intercept form, the hours would be the x, the 21 is our y intercept. So the first equatio would be y=-3x+21 (negative slope, because the height of the candle is going down). Candle b, which is 18 inches, burns away 2 inches each hour. We can make -2 the slope (negative 2, since the candle is being burned away, not being added to), and the 18 our y intercept. So the two equations would be

y=21-3x

and

y=18-2x

hope this helps!