Answer:
Step-by-step explanation:
15)We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^t
Where
y represents the population of students after t years.
t represents the number of years.
b represents the initial population of students.
r represents growth rate.
From the information given,
b = 9
r = 15% = 15/100 = 0.15
Therefore, the exponential growth function is
y = 9(1 + 0.15)^t
y = 9(1.15)^t
In 2008, t = 2008 - 2001 = 7 years
y = 9(1.15)^7
y = 24 students
16) the formula for exponential decay is expressed as
y = b(1 - r)^t
b = 24500
r = 4% = 4/100 = 0.04
Therefore, the exponential decay function is
y = 24500(1 - 0.04)^t
y = 24500(0.96)^t
In 2020, t = 2020 - 1970 = 50 years
y = 24500(0.96)^50
y = 3182 people
