The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x:

f(x) = 10(1.3)x

which of the following graphs best represents the function?

graph of f of x equals 1.3 multiplied by 10 to the power of x
graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
graph of f of x equals 10 multiplied by 1.3 to the power of x
graph of f of x equals 1.3 to the power of x

The correct option is 3. Graph of f of x equals 10 multiplied by 1.3 to the power of x.

Step-by-step explanation:

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years.

The given function is

This function interpreted as the function f of x equals 10 multiplied by 1.3 to the power of x. So, the graph of f of x equals 10 multiplied by 1.3 to the power of x.

Therefore the correct option is 3.

Substitute x=0 in the given function.

The function passes through (0,10).

Therefore, option 2 is incorrect.

dwe

step-by-step explanation:

ewd

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