To find the number of new members and the total membership money of the club.
Answer to Problem 8P
The total membership money after recruiting 28 new members is
Explanation of Solution
Given information:
Currently, the number of members in the Ski club is 24. The dues per member are
Here,
Let, the number of new members
After recruiting
Total dues reduced after recruiting
After reducing
Now, the total membership money
The standard form of a quadratic equation:
So, the formula of the axis of symmetry:
Now, comparing the equation of the total membership money with the standard form of the quadratic equation:
By applying the formula of the axis of symmetry:
Hence,
The total membership money after recruiting 28 new members is
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