Reference no: EM132077055

You get paid a salary equal to $20/hour for a standard 40-hour work week and 1.5 times your hourly rate for each hour of overtime worked.

a) Determine an equation for calculating your total pay in a week where overtime is worked.

b) Solve the equation to find the total pay when 55 hours are worked.

For the line with slope m= 3/5 that passes through point (3,6):

a) Write the function in slope-intercept form

b) Write the function in point-slope form

c) Find the intercepts

d) Graph the line

For the given rational function f(x) = x^2-x+6 / x^2-2x-3

a) Find the domain of f

b) Identify any vertical asymptotes of the graph of y=f(x)

c) Identify any holes in the graph

d) Find the horizontal and/or slant asymptote, if they exist

e) Graph the function using a graphing utility and describe the behavior near the asymptotes