Classify the model as exponential growth or exponential decay. Identify the growth or decay factor and the percent increase or decrease per time period.

y=16(1.25)^t

it increases exponentally over time: exponential growth

If it were (1.25)-t it would be decay.

its exponential growth because its 1.5 in the parenthesies if it was decay it would be lower than 1, ex. .34, .23, .05.

To classify the model as exponential growth or exponential decay, we need to consider the base of the exponential term.

In the given model, y = 16(1.25)^t, the base is 1.25. If the base is greater than 1, then it represents exponential growth. If the base is between 0 and 1, it represents exponential decay.

In this case, the base is 1.25, which is greater than 1. Therefore, the model represents exponential growth.

The growth factor in this exponential growth model is the value inside the parentheses, which is 1.25. This means that for every increase in time by 1 unit, the value of y is multiplied by 1.25.

To determine the percent increase or decrease per time period, we can subtract 1 from the growth factor and multiply it by 100.

Percent increase or decrease per time period = (growth factor - 1) * 100
= (1.25 - 1) * 100
= 0.25 * 100
= 25%

Therefore, the growth factor is 1.25 and the percent increase per time period is 25%.

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