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When lit, a candle loses 8% of the unlit candle every hour. Janet lit a candle with an original height of 5 inches. Until the candle has been burning for at least ___ hours, the height of her candle will be more than four inches.



Please help! This was on a test but it’s confusing to me!

Sagot :

Lublanaidn

Answer:

2.5 hours

Step-by-step explanation:

We are given that

Original height of candle=5 in

Every hour candle loses =8% of 5 in=0.4

According to question

[tex]5-0.4x>4[/tex]

Subtract 4 from both sides we get

[tex]5-4-0.4x>0[/tex]

[tex]1-0.4x>0[/tex]

[tex]-0.4x>-1[/tex]

[tex]0.4x<1[/tex]

Divide by 0.4 on both sides

[tex]x<\frac{1}{0.4}[/tex]

[tex]x<2.5[/tex]

x=2.5 hours

Until the candle has been burning for at least 2.5 hours, the height of her candle will be more than four inches.