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. P(t) = 10t +110 (a) Find the rate of change of P when t = 6. (Round your answer to three decimal places.) P'(6) = + 0.14 Explain its meaning. O In the next month the recognition will decrease about IP'(6)| percent. O In the next |P'(6)| months the recognition will decrease about 1%. O In the next IP'(6)| months the recognition will increase about 1%. O In the next month the recognition will increase about IP'(6)| percent. (b) Find the rate of change of P when t = 12. (Round your answer to three decimal places.) P'(12) = Explain its meaning. O In the next |P'(12)| months the recognition will increase about 1%. O In the next month the recognition will decrease about IP'(12)| percent. O In the next month the recognition will increase about IP'(12)| percent. O In the next IP'(12)| months the recognition will decrease about 1%. (c) One month prior to the election, is it better for P'(t) to be positive or negative? Explain. O Negative is better because it means decreasing recognition. O Positive is better because it means increasing recognition. O Negative is better because it means increasing recognition. O Positive is better because it means decreasing recognition.