Question

The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent the number of users on the website after tt years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.

Answer 1

The exponential function that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

The daily rate of change is of 20.82%.

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

• A(0) is the initial value.

• r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

$A(0) = 630, r = 0.76$

Hence the equation that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

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