The probability distribution of x, the number of imperfections per 10 meters of a synthetic fabric in con- tinuous rolls of uniform width, is given in exercise 3.13 on page 112 as x01234 f (x) 0.41 0.37 0.16 0.05 0.01 find the average number of imperfections per 10 meters of this fabric.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)