7
advanced-math

The number of subscribers to a newsletter is given by S(w)=50(1.1)wS(w) = 50(1.1)^w, where ww is weeks. How many subscribers are there initially?

A

1

B

1.1

C

50

D

55

Correct Answer: C

Choice C is the correct answer. The initial value is the coefficient aa.

  1. Identify: In y=abxy = ab^x, aa is the starting amount.
  2. Locate: a=50a = 50.
  3. Verify: At w=0w=0, S(0)=50(1.1)0=50(1)=50S(0) = 50(1.1)^0 = 50(1) = 50.

💡 Strategic Tip: Always plug in t=0t=0 or w=0w=0 to find the initial value.

Choice B is incorrect because 1.1 is the growth factor. Choice D is incorrect because 55 is the number after 1 week.