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Olegator [25]
3 years ago
15

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number

of members x months after the club began? A. f(x) = 2x + 3 B. f(x) = 3x + 1 C. f(x) = 1.5(2)x D. f(x) = 3(2)x
Mathematics
1 answer:
erastova [34]3 years ago
3 0

In x th month, members =  3^{2x}. Option D.

Step-by-step explanation:

Given,

Initially number of members = 3

Every month each member brought 1 new member.

To find the number of members after x months.

<u>Solution:</u>

In 1st month, members = 3

In 2nd month, members = 3×3 = 9 = 3²

In 3rd month, members = 9×9 = 81 = 3^{4}

In 4th month, members = 81×81 = 81 = 6561 = 3^{8}

Hence,

In x th month, members =  3^{2x}

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