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A gardener is planting two types of trees: Type A is three feet tall and grows at a rate of 15 inches per year. Type B is four feet tall and grows at a rate of 10 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Craig Stewart

in Mathematics

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Jennifer Patterson on October 15, 2018

First convert the feet to inches:3 feet= 36 in.; 4 feet=48.Make an equation for each of them:Type a: h=36+15xType B: h=48+10xSince the questions that you want the heights to be equal, h=h so you can replace so that you have:36+15x=48+10x5x=12x=2 2/5 years, or 2.4 years


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