Union membership as a percentage of the labor force can be modeled by

Question

M(x) = 0.0003x3 − 0.066x2 + 4.64x − 81, where x is the number of years after 1900,and M is membership as a percentage of the labor force.
a. Find the rate at which membership is changing in 1960.
b. Find the rate at which membership is changing in 1985.

Answer 1

M'(x) = .0009x^2 - .132x + 4.64

Now just evaluate M' for your years.

Answer 2

ty!