Brielle bought an apartment building for $202,444. the value of the real estate appreciated at a constant rate per year. the table shows the value of the apartment building after the first and second years: year 1 2 value (in dollars) $212,566.20 $223,194.51 which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t

This question is based on the concept of function. Therefore, the correct option is C, f(t) = 212,566.20(1.05)t  is function best represents the value of the apartment building after t years.

Given:

Brielle bought an apartment building for $202,444.

Year:                                     1                           2

Value (in dollars):      $212,566.20          $223,194.51

We need to determined the function best represents the value of the apartment building after t years.

According to the question,

Now, calculating the future value, we would multiply the starting value from year one by 1+ the percent of increase per year raised to the number of years we want.,

The starting value of the house would be the value from year one: 212,566.20

The equation would be: f(t) = 212,566.20(1.05)t.

Therefore, the correct option is C, f(t) = 212,566.20(1.05)t  is function best represents the value of the apartment building after t years.

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To find the future value, you would multiply the starting value from year one by 1+ the percent of increase per year raised to the number of years you want.,

The starting value of the house would be the value from year one: 212,566.20

The equation would then be: f(t) = 212,566.20(1.05)t