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stiv31 [10]
2 years ago
9

A candle burned at a steady rate. After 33 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches

tall. Use an equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

L = mt+L_0

Where L is the length of candle at time t

m is the rate at which the candle is burning.

And L_0 is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)

Subtracting (1) from (2):

0.45 = -18m\\\Rightarrow m = -0.025

Putting the value of m in the equation (1):

11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025

Therefore, the equation becomes:

L = -0.025t + 12.025

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches

Therefore, the height of candle is <em>9.025 inches</em>.

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