Y=2(1.25)^x
Initial amount:
growth factor:
growth rate:
To determine the initial amount, growth factor, and growth rate of the function Y = 2(1.25)^x, we can examine its general form: Y = a(b)^x.
In this case:
- The coefficient of the base (b) is 1.25, which represents the growth factor.
- The coefficient out front (a) is 2, and it represents the initial amount or starting value of the function.
- The exponent (x) represents the growth rate or the change in the function's value with each increase in x.
Therefore:
- Initial amount: The initial amount is 2.
- Growth factor: The growth factor is 1.25.
- Growth rate: The growth rate is determined by the exponent x in the function.
Keep in mind that the growth rate can be positive if the exponent is positive, indicating exponential growth. Conversely, if the exponent is negative, the growth rate would be negative, indicating exponential decay.
b^0 = 1 for any base b.
1.25 = 1 + 25%
now review growth factor vs growth rate