A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 10 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 10) would represent a height of 10 inches after 0 hours. Explain how you obtained the ordered pairs.
(make it sound like a 5th grader)
1. (1, 9.5): After one hour, the candle burns down by 0.5 inches, so the height becomes 10 - 0.5 = 9.5 inches.
2. (2, 9): After two hours, the candle burns down by another 0.5 inches, so the height becomes 9.5 - 0.5 = 9 inches.
3. (3, 8.5): After three hours, the candle burns down by another 0.5 inches, so the height becomes 9 - 0.5 = 8.5 inches.
4. (4, 8): After four hours, the candle burns down by another 0.5 inches, so the height becomes 8.5 - 0.5 = 8 inches.
5. (5, 7.5): After five hours, the candle burns down by another 0.5 inches, so the height becomes 8 - 0.5 = 7.5 inches.
6. (6, 7): After six hours, the candle burns down by the final 0.5 inches, so the height becomes 7.5 - 0.5 = 7 inches.
I obtained these ordered pairs by subtracting 0.5 inches from the previous height of the candle after each hour.