Question

A candle is 18 in. tall after burning for 2 hours. After 5 hours, it is 12 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning for 8 hours

Answer 1

Explanation:

each hour burns (15-17)/2 = -1 in/hr = m = slope at t= 0 the candle would have been 17 + 3 (1) = 20 inches tall at t= 0 when it was lit = b = h intercept h = -t + 20 when t = 5 height (y) = 15 inches Check! in 8 hours h = -8+20 = 12 inches tall