A gardener is planting two types of trees:Type A is 6 feet tall and grows at a rate of 12 inches per year.Type B is 2 feet tall and grows at a rate of 24 inches per year.Algebraically determine exactly how many years it will take for these trees to be the same height.

It will take 4 years for these trees to be the same heightStep-by-step explanation:A gardener is planting two types of trees:Type A is 6 feet tall and grows at a rate of 12 inches per yearType B is 2 feet tall and grows at a rate of 24 inches per yearWe need to find exactly how many years it will take for these trees to be the same heightAssume that it will take x years for these trees to be the same heightType A:∵ The initial height of the tree is 6 feet∵ 1 foot = 12 inches∴ 6 feet = 6 × 12 = 72 inches∴ The initial height of the tree is 72 inches∵ It grows at a rate of 12 inches per year∵ The number of years is x∴ The height of the tree in x years = 72 + 12 xType B:∵ The initial height of the tree is 2 feet∴ 2 feet = 2 × 12 = 24 inches∴ The initial height of the tree is 24 inches∵ It grows at a rate of 24 inches per year∵ The number of years is x∴ The height of the tree in x years = 24 + 24 xEquate The heights of the two types∴ 72 + 12 x = 24 + 24 x- Subtract 2 from both sides∴ 48 + 12 x = 24 x- Subtract 12 x from both sides∴ 48 = 12 x- Divide both sides by 12∴ x = 4It will take 4 years for these trees to be the same heightLearn more:You can learn more about the word problems in brainly.com/question/10557938#LearnwithBrainly