SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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      Log On


   

Question 1154114: 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?
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(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 independent variable is f(t).
The dependent variable is t.
When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let+f%28t%29+be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000.
Note: for statements 3) and 4) the following is done:
f%282%29=1200%2A%281.05%29%5E2+=+1323
f%284%29=+1200%2A%281.05%29%5E4+=+1458.6
in general, function is:
f%28t%29+=+1200%281.05%29%5Et

The following statements in this case are correct:
1. The dependent variable is f%28t%29.
2. When f%284%29=+1458.6, the 4 represents "the year 2004," and the 1458.6 represents "1458.6 tons of garbage produced."
3.The independent variable is t.
4. When f%282%29+=+1323, the 2 represents "the year 2002," and the 1323 represents "1323 tons of garbage produced."