Assume that the growth of the membership of a country club was linear from 1996 to 2000 with a membership of 214 in 1996 and a rate of growth of 730 per year. write an equation for the membership P of this country club as a function of the member of years x after 1996
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To write an equation for the membership P of the country club as a function of the number of years x after 1996, we need to consider the initial membership in 1996 (214) and the rate of growth per year (730).
Since the growth is linear, we can use the formula for a linear equation:
P = m * x + b
Here,
P represents the membership of the country club,
x represents the number of years after 1996,
m represents the rate of growth per year, and
b represents the initial membership.
Given that the initial membership in 1996 is 214 and the rate of growth is 730 per year, the equation can be written as:
P = 730x + 214
To find an equation for the membership P as a function of the number of years x after 1996, we can use the formula for the equation of a line in slope-intercept form:
y = mx + b
In this case, y represents the membership P, x represents the number of years after 1996, m represents the rate of growth, and b represents the initial membership in 1996.
We are given that the membership in 1996 was 214 (b = 214) and the growth rate is 730 per year (m = 730). Therefore, the equation becomes:
P = 730x + 214
So, the equation for the membership P as a function of the number of years x after 1996 is P = 730x + 214.