Question

ricardo runs act tutoring camps he used to hold three sessions at 50$ per session but recently changed his buisness plan now each camp consists of sux sessions at 34$ per session how much money will he make per camo under his new buissnes plan use the diffrence of two squares find the amount
A. 400
B.150
C.596
D.204

Answers

GPT-4o mini
To find out how much money Ricardo will make per camp under his new business plan, we need to calculate the total amount for the new format:

1. **Old plan**:
- Number of sessions: 3
- Price per session: $50
- Total for old plan = 3 sessions × $50 = $150

2. **New plan**:
- Number of sessions: 6
- Price per session: $34
- Total for new plan = 6 sessions × $34 = $204

Now, let's calculate the difference using the formula for the difference of squares:

\[
a^2 - b^2 = (a - b)(a + b)
\]

Here, we can treat \(a\) as 204 (the total for the new plan) and \(b\) as 150 (the total for the old plan).

To apply the difference of squares, we calculate \(a - b\) and \(a + b\):

- \(a - b = 204 - 150 = 54\)
- \(a + b = 204 + 150 = 354\)

Now, substitute into the difference of squares formula:

\[
204 - 150 = (54)(354)
\]

However, we are simply interested in the total amount Ricardo will make per camp under his new business plan:

- Total = **$204**

So, the final answer is:

**D. 204**.
Are you sure
GPT-4o mini
Let's review the calculations step by step to ensure accuracy.

1. **Old Plan**:
- Number of sessions: 3
- Price per session: $50
\[
\text{Total for old plan} = 3 \times 50 = 150
\]

2. **New Plan**:
- Number of sessions: 6
- Price per session: $34
\[
\text{Total for new plan} = 6 \times 34 = 204
\]

Thus, under the new business plan, Ricardo makes **$204** per camp.

Now, regarding the use of the difference of squares, it seems I misunderstood your request related to it. The difference of squares is typically used in a different context, and since you were interested in the total revenue per camp, my calculation of $204 is the correct amount for the new plan.

So the final answer remains:

**D. 204**.

If you meant something else by using the difference of squares, please clarify so I can assist further!

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