Question

1) Please write clearly and complete all parts. Thank You.

Ay 80- a 60- The population, P, in thousands, of a resort community is given 100+ 700t by P(t) = t20, where t is time, in months. 6t? +4 a) Find the population at t= 0, 1, 3, and 8 months. b) Find the horizontal asymptote of the graph and determine the 404 value that P(t) approaches as t goes to ? c) Explain the meaning of the answer to part (b) in terms of the application. 20- 0- 0 10 20 30 40 50 a) At t=0, the population is 0. At t= 1, the population is At t= 3, the population is At t= 8, the population is (Simplify your answers. Round to the nearest integer as needed.)

Answer 1

, tzo P(t) = foot 6+2+4 a) t=0; P(o) 700xo 6 (0)244 Aus= zero b) t= 1; PCI) = 40 700x1 6002+4 Aus= 70 thousand 700x3 Ans= 3612 thousand c.) t=3', P(3) = 36.2 6(3)² + 4 do) t= 8; P(8) - 700*8 = 14:43 CSScanned with CamScanné(8)2 44 Aus= 1414 thousand

bo) given f(t)= 7oot 6+2 +4 dutenver numerator degree is lower than the degree denominatos, then the equation of horizontal asymptate us y=0 of and Plt) goes to zero as t goes to D. c) In time, no one lines no one lines in the comm CScanned with CamScanner imunity A option