Question
Ricardo runs ACT tutoring camps. He used to hold three sessions at $50 per session, but recently changed his business plan. Now, each camp consists of six sessions at $34 per session. How much money will he make per camp under his new business plan? Use the difference of two squares to find the amount. $400 • $150 $596 • $204
Answers
GPT-4o mini
To find out how much money Ricardo will make per camp under his new business plan, we can calculate the total revenue from the six sessions at $34 per session.
First, we calculate the total revenue for the new plan:
\[
\text{Total revenue} = \text{Number of sessions} \times \text{Price per session} = 6 \times 34 = 204
\]
So, Ricardo will make **$204 per camp** under his new business plan.
Now, let’s confirm this using the difference of two squares method; however, keep in mind this is typically used for algebraic expressions rather than straightforward calculations.
The original business model had 3 sessions at $50 each, so his original total revenue from one camp was:
\[
\text{Original Revenue} = 3 \times 50 = 150
\]
Using the difference of two squares, we can express the change in revenue:
\[
(6 \times 34) - (3 \times 50) = 204 - 150 = 54
\]
This shows the comparison but is not necessary for the revenue calculation.
Regardless, the final result remains:
**Ricardo will make $204 per camp under his new business plan**.
First, we calculate the total revenue for the new plan:
\[
\text{Total revenue} = \text{Number of sessions} \times \text{Price per session} = 6 \times 34 = 204
\]
So, Ricardo will make **$204 per camp** under his new business plan.
Now, let’s confirm this using the difference of two squares method; however, keep in mind this is typically used for algebraic expressions rather than straightforward calculations.
The original business model had 3 sessions at $50 each, so his original total revenue from one camp was:
\[
\text{Original Revenue} = 3 \times 50 = 150
\]
Using the difference of two squares, we can express the change in revenue:
\[
(6 \times 34) - (3 \times 50) = 204 - 150 = 54
\]
This shows the comparison but is not necessary for the revenue calculation.
Regardless, the final result remains:
**Ricardo will make $204 per camp under his new business plan**.