The number of students who have applied for Internet privileges at school has tripled each month.

Question

The number of students who have applied for Internet privileges at school has tripled each month. a. What is the percent of increase each month? b. Twenty students had applied for Internet privileges initially. Write a function that models the number of students applying for Internet privileges over time (months). c. How many students will have applied for Internet privileges in 4 months?

Answer 1

tripling is the same as a 200% increase, from 1 to 3 means an increase of 2. 3 is a 200% increase from 1. 1 + 200%(1) = 2(1) = 3

S= 20(2)^t with t = number of months

S=20(3)^0 = 20 initially

S =20(3)^1 = 60 in one month

S =20(3)^2 =20x9 = 180 in two months

S=20(3)^3 = 20x27 = 540 in 3 months

S =20(4)^3 =20x81 = 1320 in 4 months