Question

an environmental scientists is conducting research on a particular type of air pollutant. She collects air samples over time and determines the average number of micrograms (ug) of the pollutant in a cubic meter (m^3). Her data are shown in the table below.Which Function models the scientists data?A. F(×)=1.12t +50B. F(×)=50 · 1.12tC. F(×)=50 - 6tD. F(×)=50 · 0.88^t

Answer 1

If we graph the points of the table in a coordinate system we'll see that they line up like a line function, so option D is not possible.

If we also add the graphs for the other 3 options, we get:

The points don't line up perfectly but they are much closer to the line in blue than the red or black lines.

Therefore answer is option C f(t) = 50 - 6t