Identify the initial amount in the following exponential function y=2.1(0.98)x
Did you mean y=2.1(0.98)^x ??
I will assume you did, and initial in these kind of problems implies x = 0
so y = 2.1(1) = 2.1
To identify the initial amount in an exponential function, we need to look for the starting value when the input variable (x) is equal to 0. In the given function, y = 2.1(0.98)^x, we can see that the coefficient outside the parentheses, 2.1, is the initial amount.
To identify the initial amount in the given exponential function y = 2.1(0.98)^x, we need to understand the properties of exponential functions and how they relate to the formula.
The general form of an exponential function is y = ab^x, where:
- "a" represents the initial amount or starting value.
- "b" represents the growth or decay factor.
- "x" represents the exponent or variable.
In our given function y = 2.1(0.98)^x, we can see that "2.1" is multiplying the exponential term (0.98)^x. Therefore, "2.1" is the initial amount or starting value.
So, the initial amount in the given exponential function y = 2.1(0.98)^x is 2.1.