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

Question

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

Answer 1

To find the number of baked goods (b) Casey needs to sell to achieve a profit of exactly $100, we can set up the equation related to her earnings and expenses.

Casey's total earnings from selling baked goods is $220. The expenses are $2.50 per baked good, and her profit is calculated as:

\[ \text{Profit} = \text{Earnings} - \text{Expenses} \]

To find the total expenses for b baked goods, we multiply the number of baked goods (b) by the expense per baked good:

\[ \text{Expenses} = 2.50b \]

We want to find the point where her profit equals $100:

\[ \text{Profit} = 220 - 2.50b \]

Setting the profit equal to $100 gives:

\[ 220 - 2.50b = 100 \]

So, the correct choice is:

B \( 220 - 2.50b = 100 \)