Quick Homework Help

# a painter can get paid in two ways. Plan A: \$500 plus \$4 per hour. Plan B: \$55 per hour. Suppose the job takes n hours. For what values of n is Plan A better for the painter ⚑ Flag

by felcity001 at August 19, 2010

Please don't take my answer as a reliable one, it could be incorrect.Plan A = 500+4nPlan B = 55nI suggest using the guess and check tactic.Say n = 10Then Plan A would equal to \$540, Plan B would equal to \$550.Say n = 11Then Plan A would equal to \$544, Plan B would equal to \$605When n is less or equal to 10, (it might be somewhere between 10 and 11 if the answer is a rational number) then Plan A would be the better choice.

Supernova August 19, 2010

Set the two plans equal to each other in equation form.500 + 4n = 55n500 = 55n - 4n500 = 51n500/51 = nAt approximately 9.8 hours "n" the plans are the same.This means that up to 9.8 hours, Plan B is the better buy and after 9.8 hours Plan A is the cheaper labor cost.

Steve231 August 19, 2010

Beyond 9.8, or 10+ hours

yankeekid August 19, 2010