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4 years ago

9

consider the exponential function g(x)=100 x (2). which of the following situations could be modeled by the function?

1 answer:

daser333 [38]4 years ago

3 0

The initial value of 100 that doubles over each interval.
without the answer choices, I can only describe it and give you an example of the graph.
I'm assuming the function is 100*(2)^x because if it is as listed it would be a quadratic function with a vertical stretch of 100.

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Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...

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Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

$n_{th} = a+ (n-1)d$

$n_{th}= 35+(n-1)(1)$

$n_{th} = 34+n$

To find the 100th term, substitute n = 100

$n_{100} = 34 +100$

$n_{100} =134$

Correct option is B

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