casey earned $220 selling baked goods. Her expenses were $2.50 per baked good.

Which equation can be used to find b, the number of baked goods Casey would have to sell in order to make a profit of exactly $100?
Responses
A 220 + 2.50b = 100220 + 2.50 b = 100
B 220 – 2.50b = 100220 – 2.50 b = 100
C 220b – 2.50 = 100220 b – 2.50 = 100
D 220b + 2.50 = 100

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the number of baked goods Casey needs to sell to make a profit of exactly $100, we first express the profit as the total revenue minus total expenses.

Casey's revenue from selling baked goods is $220, and her expenses are $2.50 for each baked good sold. If she sells \( b \) baked goods, her total expenses would be \( 2.50b \).

The equation for profit \( P \) can be set up as:

\[
P = \text{Revenue} - \text{Expenses}
\]

Substituting in the numbers we have:

\[
100 = 220 - 2.50b
\]

This rearrangement shows that if her expenses (which increase with each baked good sold) exceed her revenue by $100, then she has made a profit of $100.

So, the correct answer is:

**B**: \( 220 - 2.50b = 100 \)