Question

Elio makes candles that are 14\text{ cm}14 cm14, start text, space, c, m, end text tall. Each candle burns 888 hours before going out. He is wondering how many hours a 21\text{ cm}21 cm21, start text, space, c, m, end text tall candle can burn for.

He assumes that the relationship between the height of a candle and number of hours it burns (h)(h)left parenthesis, h, right parenthesis is proportional.
How long a 21 \text{ cm}21 cm21, start text, space, c, m, end text tall candle can burn for?

Answer 1

12 Hours

Explanation:

h=21/14*8

h=12 hours

Answer 2

Answer: 21 cm candle burns for 12 hours.

Explanation:

Equation to show proportional relation between two quantities x and y

:
`(x_1)/(y_1)=(x_2)/(y_2)`

According to the given situation :

Let
`x_1=14\ cm,\ y_1=8\ hours,\ x_21\ cm,\ y_2=y`

Put these values in equation , we get

`(14)/(8)=(21)/(y)\\\\\Rightarrow\ y=(21*8)/(14)=12\ hours`

Hence, 21 cm candle burns for 12 hours.