Question

I need help with my hw i cant get any wrong

Answer 1

Given the function

`f(t)=220(3^{(t)/(10)})_{}`
`\begin{gathered} Recall\text{ fro}mmthe\text{ law of indices that} \\ x^{(a)/(b)}=(x^{(1)/(b)})^a \end{gathered}`

Applying the law above, we can re-write f(t) as

`\begin{gathered} f(t)=220(3^{(1)/(10)})^t \\ f(t)=220(1.116123)^t \\ \\ \text{Looking at the options given, only }f(t)=220(1.116)^t\text{ is the }only\text{ } \\ \text{option that is approx imately eqivalent to f(t)} \end{gathered}`

Hence, the correct option is D