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 pair
(make it sound like an 8th grade girl who has mixed Anxiety depressive disorder, and dyslexia also make it less than 50 words)
use this and make it sound like a 5th grader: a list of 6 ordered pairs:
(1, 9.5) - We subtracted 0.5 from 10 because the candle burned 0.5 inches in the first hour.
(2, 9) - We subtracted another 0.5 from the previous height.
(3, 8.5) - We kept subtracting 0.5 for each subsequent hour.
(4, 8)
(5, 7.5)
(6, 7)
I obtained these ordered pairs by subtracting 0.5 inches from the previous height for each hour because the candle burns down at a rate of 0.5 inches per hour.
Part B: Write a linear equation that relates the height of the candle (y) to the time it has been burning (x). Explain how you obtained the equation (make it sound like an 8th grade girl who has mixed Anxiety depressive disorder, and dyslexia also make it less than 50 words)
use this and make it sound like a 5th grader:
The linear equation is y = -0.5x + 10. I obtained this equation by noticing that the candle burns down at a rate of 0.5 inches per hour, so each hour we subtract 0.5 from the previous height. The initial height of the candle is 10 inches, so it is our starting point.