Question

the total sales of s (in thousands of dvds) of a certain movie are given by the following formula where t is the number of months since the release of the dvd. use the formula to answer the questions.
s(t)=\frac{80t^{2}}{t^{2}+100}

a) find (s(t)).
s(t)=\frac{16000t}{(t^{2}+100)^{2}}

b) find (s(5)) and (s(5)).
the value of (s(5)) rounded to the nearest hundredth is (square)

Explanation:

Step1: Calculate $S(5)$

Substitute $t = 5$ into $S(t)=\frac{80t^{2}}{t^{2}+100}$.
$S(5)=\frac{80\times5^{2}}{5^{2}+100}=\frac{80\times25}{25 + 100}=\frac{2000}{125}=16.00$

Answer:

$16.00$