Question

PLZ HELP ASAP ALGERBA!!!And PLZZ SHOW WORK

Answer 1

Answer:

(a) y = 5655(1+0.014)^t

(b) 6682

Step-by-step explanation:

(a) The b in the exponential is the initial value of the population and the r is the rate, and t is the years after 2010. So our equation is:

$y = 5655(1+0.014)^t$

(b) In 2022, it's been 12 years after 2010. So, our values is:

$y = 5655(1+0.014)^{12} = 6682$

So, the population in 2022 is 6682.

Answer 2

Exponential functions take the form of y = a * b^x; where a is the base; b is the growth or decay factor, and x is the time elapsed.

To create a model with this data, we can use the 5655 as a, b is 1.014 (1.4% +1), and x is the exponent. To figure out part b, use the same formula, but substitute in 12 in for x to find the population to be ≈ 6,682 residents.

Hope this helps. :)