Question

I will give the BRAINLIEST for whoever is right.

Answer 1

The population growth function is $P=120(1.016)^t.$ To work out the weekly growth rate, we assume that there are 52 weeks per year.

We have to divide $t$ by 52 to get the weekly growth rate.

To identify the weekly growth rate we have to write the function as,

$P=120(1.016)^\frac{t}{52}.$

To get the weekly growth rate, we have to first simplify the function using the laws of indices namely,$a^{ab}=(a^a)^b$ .

$P=120(1.016)^{\frac{1}{52}t }=120(1.016^\frac{1}{52})^t=120(1.0003)^t=120(1+0.0003)^t.$

From the equation above we can easily read the growth rate as 0.0003 or $0.03\%$

Answer 2

R= .016*100=1.6
R= 1.6%

R=1.6 over 52*100= 0.03076923077 per week
Growth= 0.03
function= P=120(1.016^1/52)^52t
Hope this helps! ^-^