a sales representative is given a choice of two paycheck plans. one choice includes a monthly base pay of $300 plus 10% commission on his sales. the second choice is a monthly salary of $1200. for what amount of sales would the representative make more money with the first plan?

i'm confused in which numbers to put on which side - please help me :/

thank you

Welcome

To determine the amount of sales at which the representative would make more money with the first plan, we can set up an equation to compare the earnings under both plans.

Let's denote 'x' as the amount of sales.

Under the first plan, the representative's earnings would be the sum of the monthly base pay ($300) and 10% commission on sales. The commission can be calculated by multiplying 10% (or 0.10) by the amount of sales (x). So, the earnings under the first plan can be represented as:

Earnings = $300 + 0.10x

Under the second plan, the representative's earnings would be a fixed monthly salary of $1200 regardless of sales.

To determine the amount of sales at which the first plan would be more profitable, we need to find when the earnings under the first plan are greater than the earnings under the second plan.

Mathematically, we can express this comparison as an inequality:

$300 + 0.10x > $1200

To solve this inequality, we can start by subtracting $300 from both sides to isolate the term containing 'x':

0.10x > $1200 - $300

Simplifying further:

0.10x > $900

Next, divide both sides of the inequality by 0.10:

x > $900 / 0.10

x > $9000

Therefore, the representative would make more money with the first plan if their sales exceed $9000.

300 + .1x ≥ 1200

To solve for x, first subtract 300 from both sides, then divide both sides by .1(10%).