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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 :

ANSWER

Increases by factor of 5/2

EXPLANATION

Given;

[tex]s\left(t\right)=\left(\frac{5}{2}\right)^t[/tex]

At interval (1,2);

For x=1;

[tex]\begin{gathered} s(1)=(\frac{5}{2})^1 \\ =\frac{5}{2} \end{gathered}[/tex]

For x=2;

[tex]\begin{gathered} s(2)=(\frac{5}{2})^t \\ =(\frac{5}{2})^2 \\ =\frac{25}{4} \end{gathered}[/tex]

Average rate of Change;

[tex]\begin{gathered} \frac{\frac{25}{4}-\frac{5}{2}}{2-1} \\ \\ =\frac{15}{4} \\ \end{gathered}[/tex]

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