Question

identify whether the change represents growth or decay and determine the precentage rate of increase or decrease y=47(1.09)

Answer 1

The expression y = 47(1.09) represents a growth of 9%, indicating an increase in the original quantity.

In the given expression y = 47(1.09), it represents a growth scenario because the term (1.09) is greater than 1. When a quantity is multiplied by a value greater than 1, it experiences growth.

Now, let's determine the percentage rate of increase. The term (1.09) represents a multiplier for growth, and the percentage rate of increase can be found by subtracting 1 from this multiplier and then converting it to a percentage.

`\[ \text{Rate of increase} = (1.09 - 1) * 100\% \]`

`\[ \text{Rate of increase} = 0.09 * 100\% = 9\% \]`

So, the expression y = 47(1.09) represents a growth of 9%, indicating an increase in the original quantity.