A candle is 17 inches tall after burning for 3 hours. After 5 hours, it is 15 inches 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.

Littlegirlblue
Nov 26, 2018

#1**+3 **

Starts out 17 inches tall y intercept = b = 17

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

ElectricPavlov
Nov 26, 2018

#1**+3 **

Best Answer

Starts out 17 inches tall y intercept = b = 17

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

ElectricPavlov
Nov 26, 2018