A webite ha 300,000 member. The number $y$ of member increae by 11% each year. A. Write an exponential function that repreent the webite memberhip after t year. B. How many member will there be after 4 year? Round your anwer to the nearet ten thouand



Answer :

A. y = [tex]a(1+r)^t[/tex]an exponential function that represent the webite membership after t year:

B. 455421.123 many member will there be after 4 year

What is an exponential function?

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just as in any exponential equation. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

Given that,

members = 300000

member increased by 11%

an exponential function that represent the webite membership after t year:

y = [tex]a(1+r)^t[/tex]

member will there be after 4 year:

y = [tex]300000 (1+0.11)^4[/tex]

y = [tex]300000 (1.11)^4[/tex]

y = 455421.123

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