Kenisha sells athletic shoes part-time at a department stoe. She can earn either $500 per month plus a 4% commission on her total sales, or $400 per month plus a 5% commission on total sales.

Write a system of equations to represent the situation.

Why don't you let X stand for the amount she has to sell?

$500 + .04X = $400 + .05X

That would tell you how much she would have to sell each month to make them equivalent. If she expects to sell less, she would go for the large base pay. If she expects to sell more, she would want the smaller base pay and larger percentage.

I hope this helps. Thanks for asking.

Thanks for the help. I really appreciate it.

Let's represent the total sales as 'x'.

For the first earning option (Option 1), Kenisha earns a fixed amount of $500 per month, and in addition, she earns a 4% commission on her total sales.

So, the equation for Option 1 would be:
Earnings_1 = $500 + 0.04x

For the second earning option (Option 2), Kenisha earns a fixed amount of $400 per month, and in addition, she earns a 5% commission on her total sales.

So, the equation for Option 2 would be:
Earnings_2 = $400 + 0.05x

Thus, the system of equations representing Kenisha's situation would be:
Earnings_1 = $500 + 0.04x
Earnings_2 = $400 + 0.05x