Question 50082
Plan A: (Let S = sales amount in dollars and A = salary).

A = $500 + 0.04S

Plan B: S = sales amount in dollars and B = salary)

B = $750 + 0.05(S-$8,000)  Write the inequality:

B > A
$750+0.05(S-$8,000) > $500+0.04S Simplify and Solve for S.
$750+0.05S-$400 > $500+0.04S
$350+0.05S > $500+0.04S Subtract 0.04S from both sides of the inequality.
$350+0.01S > $500 Subtract $350 from both sides.
0.01S > $150 Finally, divide both sides by 0.01
S > $15,000

Check: For $15,001 in sales.
Plan A
A = $500 + 0.04($15,001)
A = $500 + $600.04
A = $1,100.04

Plan B
B = $750 + 0.05($15,001-$8,000)
B = $750 + 0.05($7,001)
B = $750 + $350.05
B = $1,100.05

So plan B pays better if sales are greater than $15,000