4. Use the diagram below to answer the question
1 answer:
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Let
x--------> the number of sessions
y-------> the total payment
we know that
without membership:
--------> equation
with membership:
--------> equation
using a graph tool------> resolve the system of equations
see the attached figure
the solution is the point
that means
For
the cost is in both forms
so
to justify buying the membership
therefore
<u>the answer is</u>
(x - xc)² + (y - yc)² = r²
Where xc and yc are center coordinates
(x - (-4))² + (y - 3)² = 2²
x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4
x² + 8x + 16 + y² - 6y + 9 = 4
x² + y² + 8x - 6y + 25 - 4 = 0
x² + y² + 8x - 6y + 21 = 0