the value of an investment of $3,500 over t years at 4.5% interest is represented by the expression…

the value of an investment of $3,500 over t years at 4.5% interest is represented by the expression 3500(1.045)^t. which kind of expression is 3500(1.045)^t?\n exponential decay\n exponential growth\n quadratic\n linear

the value of an investment of $3,500 over t years at 4.5% interest is represented by the expression 3500(1.045)^t. which kind of expression is 3500(1.045)^t?\n exponential decay\n exponential growth\n quadratic\n linear

Answer

Explanation:

Step1: Recall exponential - form

The general form of an exponential function is $y = a(b)^x$, where $a$ is the initial value, $b$ is the base, and $x$ is the exponent. In the given expression $3500(1.045)^t$, $a = 3500$, $b=1.045$, and $x = t$.

Step2: Determine growth or decay

If $b>1$, the function represents exponential growth. Since $b = 1.045>1$, the expression represents exponential growth. Also, quadratic functions have the form $y=ax^{2}+bx + c$ and linear functions have the form $y=mx + b$, which are not the case here.

Answer:

exponential growth