Question

Find a when t= 4.50 if s is inversely proportional to t and s= 770 when t= .600

Answer 1

The equation for inverse proportionality is:

$s=\frac{k}{t}$

where s and t are two variables and k is the proportionality constant. In order to figure out what s is when t is 4.5, we first need to figure out what k is with the given values for s and t. We know that s = 770 when t = 0.6. We can plug in our values:

$\begin{gathered} 770=\frac{k}{0.6} \\ k=770*0.6 \\ k=462 \end{gathered}$

Now, let's plug in t = 4.5 and k = 462, and solve for s:

$\begin{gathered} s=\frac{462}{4.5} \\ s\approx102.67 \end{gathered}$

Therefore, s is approximately 102.67, which is exactly 102 and two-thirds