Missy078
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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

Respuesta :

irspow
Graph of f(x)=10(1.3)^x

Graph of f of x equals 10 multiplied by 1.3 to the power of x.

Answer:

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

[tex]f(x)=10(1.3)^x[/tex]

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.

[tex]f(x)=10(1.3)^0=10[/tex]

The function passes through (0,10).

Therefore, option 2 is incorrect.

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