a) n = 2.3t + 85
b) Female members will be betwen 121 to 122
Step-by-step explanation:
In 2005, members = 85
In 2015, members = 108
n = number of members since 2015
t = time since year 2005
t = 0 (base year), n= 85
t for 2015:
t = 2015 - 2005
t = 10, n = 108
We need to find the rate of increase:
We need to find of the linear model using equation of line:
y = mx + b
In this case, y = n, x = t
m = rate = 2.3
We need to find b.
b = is the number of members when t = 0
b = 85
The equation or linear model becomes:
b) The number of female members in 2021 = ?
year = 2021
t = 2021 - 2005
t = 16
We substite for t in the linear model:
Since we can't have a decimal number of people, females members will be at least 121 members or at most 122 members