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Monique son just turned 2 years old and is 34 inches tall .Monique heard that that the average boy will grow approximately 2 5/8 inches per year until the age if 15 write an equation that represents how old monique son will be when he is 50 inches tall let x represent the amount of the year since age 2

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Problem

Monique son just turned 2 years old and is 34 inches tall .Monique heard that that the average boy will grow approximately 2 5/8 inches per year until the age if 15

write an equation that represents how old monique son will be when he is 50 inches tall let x represent the amount of the year since age 2​

Solution

For this case we can do the following equation:

y= 34 + 2 5/8 x

Where y represent the height at any age until 15

Then when can solve this:

50 = 34 + 21/8 x

And we can solve for x and we got:

50-34= 21/8 x

16 = 21/8 x

x= 16*8/ 21 = 128/21 = 6.095

So after 6 years approximately she would be with a height of 50 inches

And that correspond to 8 years

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