After burning 5 minutes, the candle is t inches tall.
The candle will be 6 inches tall after burning 50 minutes.
The candle will be 3 inches tall after burning k minutes.
h(3) = k
h(5) = t
h(50) = 6
h(k) = 3
h(6) = 50
h(t) = 5
After burning 5 minutes, the candle is t inches tall. The candle will be 6 inches tall after burning 50 minutes. The candle will be 3 inches tall after burning k minutes. h(3) = k h(5) = t h(50) = 6 h(k) = 3 h(6) = 50 h(t) = 5
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To find the value of ( k ) in the context of the candle’s height after burning for different durations, we can observe a linear relationship based on the information given.
1. Understanding the height function: You have the heights of the candle at different times:
– ( h(5) = t )
– ( h(50) = 6 )
– ( h(k) = 3 )
2. Finding the rate of height change:
– To find how much the candle burns in that time, we can establish a linear relationship.
– The candle height change from ( h(50) ) to ( h(5) ) can be calculated as:
[
text{Change} = h(50) – h(5) = 6 – t
]
– The time change is ( 50 – 5 = 45 ) minutes.
3. Finding the height at ( k ):
– From the height at ( k ) minutes, it can be inferred that:
[
h(k) = 3
]
4. Using these values:
– We know that as time increases, the height decreases. To find ( k ), we can set up proportions or simply observe:
– The rate of burning (height change per minute) can be calculated using points we have.
Without doing calculations explicitly and to