SOLUTION: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 11 hours of burning, a candle has a height of

Question 358851: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 11 hours of burning, a candle has a height of 23.4 centimeters. After 30 hours of burning, its height is 12 centimeters. What is the height of the candle after 13 hours?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Suppose that the height (in centimeters) of a candle is a linear function of
the amount of time (in hours) it has been burning.
After 11 hours of burning, a candle has a height of 23.4 centimeters.
After 30 hours of burning, its height is 12 centimeters.
What is the height of the candle after 13 hours?
:
Assign the given values as follows:
x1 = 11; y1 = 23.4
x2 = 30; y2 = 12
:
Find the slope using: m =
m = =
:
Find the equation using the point/slope formula: y - y1 = m(x - x1)
y - 23.4 = (x - 11)
y - 23.4 = x +
y = x + + 23.4
y = x + + 23.4
y = x + +
y = x +
y = x + 30, is the equation
:
What is the height of the candle after 13 hours?
x = 13
y = (13) + 30
y = + 30
y = -7.8 + 30
y = 22.2 cm after 13 hrs

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