Question

Suppose that the proportion P of voters who recognize a candidate's name t months after the start of the campaign is given by the following equation. (Round your answers to three decimal places.)

P(t) =

19t

t² + 80

+ 0.19

(a) Find the rate of change of P when t = 6.


(b) Find the rate of change of P when t = 12.


(c) One month prior to the election, is it better for P'(t) to be positive or negative? Explain.

Positive is better because it means increasing recognition.

Positive is better because it means decreasing recognition.   

Negative is better because it means increasing recognition.

Negative is better because it means decreasing recognition.

Answer 1