Question

the table shows the balance of a money market account over time. write a function that represents the balancr y (in dollars) after t years​

Answer 1

y = 1500 * 1.09^t

Explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t