Question

How does s(t) =(5/2)^t change over the interval from t=1 to t=2?Does it?s(t) increases by 5/2 unitss(t) increases by 2.5%s(t) decreases by a factor of 5/2/s(t) increases by a factor of 5/2

Answer 1

Increases by factor of 5/2

Step-by-step explanation

Given;

`s\left(t\right)=\left((5)/(2)\right)^t`

At interval (1,2);

For x=1;

`\begin{gathered} s(1)=((5)/(2))^1 \\ =(5)/(2) \end{gathered}`

For x=2;

`\begin{gathered} s(2)=((5)/(2))^t \\ =((5)/(2))^2 \\ =(25)/(4) \end{gathered}`

Average rate of Change;

`\begin{gathered} ((25)/(4)-(5)/(2))/(2-1) \\ \\ =(15)/(4) \\ \end{gathered}`