Problema Solution
The membership of a gym from 1995 to 2010 is given by the function M(x)=18x+65 people, x years after the gym, was founded in 1995.
What is the membership of the gym in 2001?
Find and interpret the y-intercept of the function
Find the rate of change in the number of members at the gym.
Answer provided by our tutors
M(x)=18x+65
x years after the gym, was founded in 1995
What is the membership of the gym in 2001?
x = 2001 - 1995
x = 6
M(6)=18*6 + 65
M(6) = 173 members in 2001
Find and interpret the y-intercept of the function
We find the y-intercept if we put x = 0
M(0) = 18*0 + 65
M(0) = 65
the y-intercept is (0, 65).
Find the rate of change in the number of members at the gym.
rate of change = change in M(x)/change in x
rate of change = (M(6) - M(0))/(6 - 0)
rate of change = (173 - 65)/6
rate of change = 18