Question

Two dozen college friends decided to launch a new social media platform with just their group as the initial set of members on the platform. The number of members for this social media
platform increases at a rate of 9.5% each week.
Which equation can be used to find the number of weeks, x, after launching that it takes this platform to grow to 1, 000 members?
1,000 24(0,005)
B 1,000 = 12(1.095)**
2H目艺
1, 000 = 24(1.95)*
D 1,000 = 24(1.095)*

Answer 1

Use the exponential growth model A = A0(1 + r)^x. Here A0 = 24 and r = 0.095, so

1000 = 24(1.095)^x.

(So choice D. If you want x, x = ln(1000/24) / ln(1.095) ≈ 41.1 weeks.)