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Answer with Step-by-step explanation:
A candle is 4 inches tall and burns at the rate of 0.6 inch per hour.
i.e. after 1 hour height of candle=4-0.6 inches
After 2 hours height of candle=4-0.6-0.6 inches
after x hours height of candle=4-0.6x
Also,
If the height of the candle after x hours is 1.5 inches
⇒ 4-0.6x=1.5
⇒ 0.6x=4-1.5
⇒ 0.6x=2.5
⇒ x=2.5/0.6
⇒ x=4.166
Hence, equation to represent the situation. is:
4-0.6x=1.5
and the expected number of hours in which the candle melted to 1.5 inches is:
4.166 hours
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The expected number of hours in which the candle melted to 1.5 inches is 4.17 hours.
What is the equation of a line?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches. Therefore, the equation for the situation can be written as,
length after x hours, y = -0.6x + 4
The number of hours it will take for the candle to melt to 1.5 inches is,
1.5 = -0.6x + 4
1.5 - 4 = -0.6x
-2.5 = -0.6x
x = 4.17 hours
Hence, the expected number of hours in which the candle melted to 1.5 inches is 4.17 hours.
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