Final answer:
Joanne's sales need to be greater than $500,000 for Store B to be a better offer.
Step-by-step explanation:
To find out what sales Joanne needs to make for Store B to be a better offer, we need to compare the earnings from both stores. Let's represent the sales made by Joanne as 'x'.
For Store A, Joanne will earn a flat rate of $60,000 per day, regardless of the sales, and an additional 4% of the sales. So her total earnings at Store A can be calculated as:
- Flat rate: $60,000
- Additional commission: 4% * x
For Store B, Joanne will earn a flat rate of $30,000 per day and an additional 10% of the sales. So her total earnings at Store B can be calculated as:
- Flat rate: $30,000
- Additional commission: 10% * x
Now we need to compare the total earnings from both stores. We want Store B to be a better offer, which means Joanne's earnings at Store B should be greater than her earnings at Store A:
Store B earnings > Store A earnings
So we can set up an inequality:
$30,000 + 10% * x > $60,000 + 4% * x
Simplifying the inequality:
$30,000 + 0.1 * x > $60,000 + 0.04 * x
Combining like terms:
0.1 * x - 0.04 * x > $60,000 - $30,000
Simplifying further:
0.06 * x > $30,000
Now, let's solve for x:
x > $30,000 / 0.06
x > $500,000
Therefore, Joanne's sales need to be greater than $500,000 for Store B to be a better offer.