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Select ALL the correct answers. Let f(t) be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000. Which statements are true for the given function? When f(12) = 2,155, the 12 represents "12 tons of garbage produced," and the 2,155 represents "the year 2155." The independent variable is t. The dependent variable is f(t). The independent variable is f(t). The dependent variable is t. When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced." Reset Next

Respuesta :

Using function concepts, it is found that the correct statements are given by:

  • The independent variable is t. The dependent variable is f(t).
  • When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced."
  • When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."

What does the function f(t) represents?

It gives the amount of garbage, in tons, produced by a city in t years after 2000.

The amount depends on the number of years, hence:

  • t is the independent variable.
  • f(t) is the dependent variable.

Hence, the correct statements are given by:

  • The independent variable is t. The dependent variable is f(t).
  • When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced."
  • When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."

More can be learned about functions at https://brainly.com/question/25537936

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