I don't know how to do this and will be grateful if you can tell me the answer.
A club starts with 34 members. After 74 years it has 8,000 members. What is its percent growth rate?
2007-03-11 15:24:39 · 3 answers · asked by fra59e 4 in Science & Mathematics ➔ Mathematics
I'm thinking that this club is growing exponentially, and so you are looking for a function of the form: a(b)^t.
Since we are starting with 34 members, a(b)^0 = 34.
So, a = 34.
We have 8000 members in 74 years,
so, 34(b)^74 = 8000.
Divide both sides by 34 and raise both sides to the (1/74) power.
b = (8000/34)^(1/74) = 1.076586174
Subtract away the 1 and convert to a percent and you get
about 7.66% growth per year.
2007-03-11 18:06:16 · answer #1 · answered by s_h_mc 4 · 1⤊ 0⤋
108(107.648) members per year is the linear equation....if your looking for the quadratic one, i'm sorry
2007-03-19 12:53:10 · answer #2 · answered by Anonymous · 0⤊ 0⤋
3.17% a year
2007-03-11 15:33:04 · answer #3 · answered by Steelr 4 · 0⤊ 2⤋