Question

A local salesman receives a base salary of $675 monthly. He also receives a commission of 8% on all sales over $2000. How much would he have to sell in a month if he needed to have a monthly income of $3000?

He would need to sell $_____ to reach his needed monthly income needs.
(Round answer to the nearest penny. Do not use commas!)

Answer 1

He would need to sell $31,062.50  to reach his needed monthly income needs

What is the function for the total monthly income?

The total monthly income is the sum of the base salary of $675 and the commission on sales over $2000

total income=$675+(X-$2000)*8%

X is the total sales and commission is only based on sales above $200

total income=$3,000

$3000=$675+(X-$2000)*8%

$3000=$675+0.08X-$160

$3000-$675+$160=0.08X

$2,485=0.08X

X=$2485/0.08

X=$31,062.50

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