Answer:
8 - (7/10)t - 6 -(1/5)t
Step-by-step explanation:
Let t = time in hours.
The red candle starts with a height of 8 inches.
After 1 hour, the height, in inches, is 8 - (7/10)(1).
After 2 hours, the height, in inches, is 8 - (7/10)(2).
After t hours, the height, in inches, is 8 - (7/10)t.
The blue candle starts with a height of 6 inches.
After 1 hour, the height, in inches, is 6 - (1/5)(1).
After 2 hours, the height, in inches, is 6 - (1/5)(2).
After t hours, the height, in inches, is 6 - (1/5)t.
Since we want an equation for when the heights are equal, we set the two expressions above equal.
Answer: 8 - (7/10)t - 6 -(1/5)t
