Final answer:
The equation y=5a^0.45t models growth, as indicated by the positive exponent. The percent growth rate depends on the value of 'a', which needs to be greater than 1 for growth. Without a specific value for 'a', the actual percentage of growth cannot be determined.
Step-by-step explanation:
The given equation y=5a^0.45t represents a growth model because the exponent on 'a' is positive, which means as 't' increases, 'y' will increase as well. To find the percentage of growth, we would need to determine 'a' (which we must assume is greater than 1 for growth to occur) and calculate the growth over a specific period. For example, if 'a' is 1.05, a common approximation for annual growth, and we consider a 10-year period, the equation y=5(1.05)^10 will show how much y grows after 10 years.
Using the equation mentioned in the question of growth rate (r) as r = ln(1 + p), where p is the growth rate expressed as a decimal, we can consider 'p' to be the annual percentage of growth. If the question is aimed at a 5% annual growth rate, you would plug in 0.05 for 'p' to find the corresponding 'r'. For the sake of explanation, if the value of 'a' is not given, you cannot concretely determine the percentage of change without additional information.