The height of the candle can be modeled with the linear equation:
y = (-5/12)*x + 30
And the candle will burn completely in 72 minutes.
How long will it take for the whole candle to burn?
We know that the height of the candle can be modeled by a linear equation, because it burns at a constant rate.
y = a*x + b
a is the rate at which the candle burns, and b is the initial height, which we know is 30 inches, then:
y = a*x + 30
We know that after 12 minutes, the height is 25 inches, then we can write:
25 = a*12 + 30
25 - 30 = a*12
-5/12 =a
The linear equation is:
y = (-5/12)*x + 30
The candle will burn completely when:
0 = (-5/12)*x + 30
(5/12)*x = 30
x = 12*30/5 = 12*6 = 72
Learn more about linear equations:
https://brainly.com/question/4074386
#SPJ1
