sat-dog

Choice A is correct. It’s given that the function P models the population, in 2003 thousands, of a certain city t years after . The value of the base of the given 1.04 4% exponential function, , corresponds to an increase of for every increase 6 6 =0 of 1 in the exponent, b4lt. If the exponent is equal to 0, then b4lt . Multiplying 4 = both sides of this equation by b6l yields t 0. If the exponent is equal to 1, then 6 =1 4 =4 =2 b4lt . Multiplying both sides of this equation by b6l yields t 6, or t 3. 4% 2 Therefore, the population is predicted to increase by every 3 of a year. It’s 4% given that the population is predicted to increase by every n months. Since 12 2 2 12 there are months in a year, 3 of a year is equivalent to b3l` j, or 8, months. Therefore, the value of n is 8. Choice B is incorrect. This is the number of months in which the population is 4% =260 1.04 t predicted to increase by according to the model P^th ^ h, not 6 P^th =260 ^ 1.04 h c4mt . Choice C is incorrect. This is the number of months in which 4% the population is predicted to increase by according to the model 4 6 P^th =260 ^ 1.04 h c6mt , not P^th =260 ^ 1.04 h c4mt . Choice D is incorrect. This is the number of months in which the population is predicted to increase by 1 6 4% according to the model P^th =260 ^ 1.04 h c6mt , not P^th =260 ^ 1.04 h c4mt .