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?

Respuesta :

Answer:

12 Hours

Step-by-step explanation:

h=21/14*8

h=12 hours

Answer:   21 cm candle burns for 12 hours.

Step-by-step explanation:

Equation to show proportional relation between two quantities x and y

 : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

According to the given situation :

Let [tex]x_1=14\ cm,\ y_1=8\ hours,\ x_21\ cm,\ y_2=y[/tex]

Put these values in equation , we get

[tex]\dfrac{14}{8}=\dfrac{21}{y}\\\\\Rightarrow\ y=\dfrac{21\times8}{14}=12\ hours[/tex]

Hence, 21 cm candle burns for 12 hours.