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Can anyone help me with this question, it asks Which function shows an increasing rate of growth?

A. h(x)=99(0.95)x
B. h(x)=99(1.05)x
C. h(x)=1.05x
D.h(x)=0.95x
Thank you

Can anyone help me with this question, it asks Which function shows an increasing-example-1
User GJZ
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2 Answers

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Answer:


Explanation:

the correct answer is B

User AgiaLab
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6 votes

Answer: Option B

Explanation:

An increased rate of growth refers to exponential growth.

Are those of the form "An amount X increases by a 10% every year"

Then, if in year 0 you have X

in year 1 you have X + 0.1*X = X*1.1

in year 2 you have (X*1.1) + (X*1.1)*0.1 = X*1.1*1,1 = X*1.1^2

and in year n, you have X*1.1^n

Then, an increasing rate of growth is usually described by a number bigger than 1 potentiated by the variable; in this case, the correct option is option b:

h(x)=99(1.05)^x

(where the sign ^ is missing in the question)

User Hrabosch
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