Question

Use the table provided to find an exponential model ƒ(x) = abx, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.

Answer 1

https://dlap.gradpoint.com/Resz/~0.7Kos5LA790oyUA6.TWpEz_r-kasevi11MbKsfksyylY4SRkKdPEjNNnoRnY/7234256,F5C/Assets/questions/quiz/precalculus/pcalexmo/IMG73602.png

Answer 2

@Vocaloid

Answer 3

uh

well you have two data points (0, 5739879) and (1,5939292). and the equation y = ab^x, where a is the starting population in 2004 (given), b is the growth rate, and x is the number of years since 2004

in y = ab^x form that's

5939292 = 5739879(b)^1
so you'd just have to solve for b, the growth rate, first

then plug b back into

y = 5739879(b)^x, leaving x alone

Answer 4

ƒ(x) = 5,739,879 • (1.035)x
@Vocaloid

Answer 5

good