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jake's height

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by rahul.s » Fri Feb 12, 2010 6:13 am
jake was 4 1/2 feet tall on this 12th birthday, when he began to have a growth spurt. between his 12th and 15th birthdays, he grew at a constant rate. if jake was 20% taller on his 15th birthday than on his 13th birthday, how many inches per year did jake grow during his growth spurt? (12 inches = 1 foot)

OA: 6 inches per year

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by ajith » Fri Feb 12, 2010 10:57 am
rahul.s wrote:jake was 4 1/2 feet tall on this 12th birthday, when he began to have a growth spurt. between his 12th and 15th birthdays, he grew at a constant rate. if jake was 20% taller on his 15th birthday than on his 13th birthday, how many inches per year did jake grow during his growth spurt? (12 inches = 1 foot)
Jake was 54 inches tall and say between his 12th and 15th birthday he grew x inches per year. He would be 54 + x on 13th birthday 54+2x of 14th and 54+3x on 15th birthday

(54+x)*1.2 = 54+3x

1.8x = 54*.2
x = 30*.2 = 6 inches
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