The number of users on a website is 5400 and is growing exponentially at a rate of 30% per year. Write a function to represent the number of users on the website after t
years, where the quarterly 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 quarter, to the nearest hundredth of a
percent.

The expression that models the growth of users is:

The rate of change per quarter is 7.5%

Step-by-step explanation:

Since the number of users is growing at a rate of 30% per year, then initially we have 5400, but after the first year we will have:

After the second year we will have:

After the third year we will have:

This will continue as the years passes. Therefore:

The rate of change pre quarter of year is the rate of change pre year divided by 4,therefore:

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step-by-step explanation: