write a function in terms of t that represents the situation. sales of $10,000 increase by 65% each year. y…

Explanation:

Step1: Identify the initial - value and growth factor

The initial sales $a = 10000$. The growth rate $r=0.65$, so the growth factor $b = 1 + r=1 + 0.65 = 1.65$.

Step2: Write the exponential - growth function

The general form of an exponential - growth function is $y=a\cdot b^{t}$, where $a$ is the initial value, $b$ is the growth factor, and $t$ is the number of years. Substituting $a = 10000$ and $b = 1.65$ into the formula, we get $y = 10000\cdot(1.65)^{t}$.

Answer:

$y = 10000\cdot(1.65)^{t}$