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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

3 answers

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

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!