the population p, in thousands, of a small city is given by the following function, where t is time in…

the population p, in thousands, of a small city is given by the following function, where t is time in years. answer parts a) through c).\np(t)=\frac{600t}{2t^{2}+25}\na) find the growth rate.\nthe growth rate is (\frac{15000 - 1200t^{2}}{(2t^{2}+25)^{2}})\nb) find the population after 9 yr.\nthe population is (square) after 9 years.\n(round to the nearest integer as needed.)

the population p, in thousands, of a small city is given by the following function, where t is time in years. answer parts a) through c).\np(t)=\frac{600t}{2t^{2}+25}\na) find the growth rate.\nthe growth rate is (\frac{15000 - 1200t^{2}}{(2t^{2}+25)^{2}})\nb) find the population after 9 yr.\nthe population is (square) after 9 years.\n(round to the nearest integer as needed.)

Answer

Explanation:

Step1: Identify the population function

The population function is $P(t)=\frac{600t}{2t^{2}+25}$, and we need to find $P(9)$.

Step2: Substitute $t = 9$ into the function

$P(9)=\frac{600\times9}{2\times9^{2}+25}=\frac{5400}{2\times81 + 25}=\frac{5400}{162+25}=\frac{5400}{187}\approx29$.

Answer:

29