we have
\(r(x)=\frac{8}{3}x-16\)
we know that
The zero of the function is the value of x when the function is equal to zero
so
Equate the function r(x) to zero and find the value of x
\(\frac{8}{3}x-16=0\)
Adds \(16\) both sides
\(\frac{8}{3}x-16+16=0+16\)
\(\frac{8}{3}x=16\)
Multiply by \(3/8\) both sides
\(x=16*\frac{3}{8}\\x=6\)
therefore
the answer is the option C
\(6\)
