A gardener is planting two types of trees: Type A is 3 feet tall and grows at a rate of 22 inches per year. Type B is 4 feet tall and grows at a rate of 20 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

  6 years

Step-by-step explanation:

The height of tree A can be modeled by ...

  A = 36 +22y . . . . . where y is the number of years, height is inches

The height of tree B can be modeled by ...

  B = 48 +20y . . . . . same deal

The two heights are the same when ...

  A = B

  36 +22y = 48 +20y

  2y = 12 . . . . . . subtract 36+20y

  y = 12/2 = 6

It will take 6 years for the trees to be the same height.

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Note that you can "cut to the chase" by recognizing that the taller tree is growing at the slower rate, so the 12-inch difference in height is being reduced by 2 inches per year. (That is the meaning of 2y=12, above.) From there, it is a simple step to get to the divide 12 by 2.

you need to show us the graph.

step-by-step explanation:

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.