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Ответ:

JoeAnthony3293

19.04.2021

Mathematics

h=t+5

Step-by-step explanation:

According to the problem, the initial condition if 5 feet tall, which represents the height of the tree at the moment Kevin bought it. Remember that the initial condition represents the independent term in the expression, that is, it's the term that doesn't multiply the variable.

According to the given table, after one year the tree grew one feet, so basically, the tree grows 1 feet per year, we can deduct this rate of change by calculating it

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{6-5}{1-0}=\frac{1}{1}\\ m=1$

Now, using this ratio of change which is the slope of the linear relation, we can find the equation that models this problem by using the point-slope form. We are gonna use the point (0,5) from the given table

$y-y_{1} =m(x-x_{1} )\\y-5=1(x-0)\\y=x+5$

Where y=h and x=t . So, the expression is

h=t+5

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