Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease: y = 190(1.471).

A. Growth
B. Decay
C. % increase
D. % decrease

Answer 1

The given exponential function represents exponential growth, and the percentage rate of increase is 47.1%.

Step-by-step explanation:

The exponential function given is y = 190(1.471). The number 1.471 indicates how much the original quantity is multiplied by each time period (often a year). Since this number is greater than 1, this represents exponential growth. To find the percentage rate of increase, we would subtract 1 from 1.471 to get 0.471, and then multiply by 100 to convert to a percentage. Therefore, the percentage rate of increase is 47.1%.