we have
[tex]r(x)=\frac{8}{3}x-16[/tex]
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
[tex]\frac{8}{3}x-16=0[/tex]
Adds [tex]16[/tex] both sides
[tex]\frac{8}{3}x-16+16=0+16[/tex]
[tex]\frac{8}{3}x=16[/tex]
Multiply by [tex]3/8[/tex] both sides
[tex]x=16*\frac{3}{8}\\x=6[/tex]
therefore
the answer is the option C
[tex]6[/tex]
