For each problem below, solve algebraically. Then, use a table or graph to check your answer.
A = 20 000 (given)
a.) for t = 3 P = 20 000 (1.3)^(-.234 (3))
=16600 (rounded)
b.) population is now 20 000 1/2 of this is 10 000 solve for t
10 000 = 20 000 (1.3)^(-.234t)
10 000 / 20 000 = 1.3^(-.234t)
.5 = 1.3^(-.234t) take log of both sides
-.301 = -.234t log (1.3)
t =11.3 yrs
A = 20 000 (given)
a.) for t = 3 P = 20 000 (1.3)^(-.234 (3))
=16600 (rounded)
b.) population is now 20 000 1/2 of this is 10 000 solve for t
10 000 = 20 000 (1.3)^(-.234t)
10 000 / 20 000 = 1.3^(-.234t)
.5 = 1.3^(-.234t) take log of both sides
-.301 = -.234t log (1.3)
t =11.3 yrs