Respuesta :

Given that

There is a function that shows the relation between some terms and we have to find the correct option from the given options.

Explanation -

The function is as

[tex]\begin{gathered} d(h)=\frac{128}{8}+\frac{128}{h} \\ where\text{ h is the number of hours.} \end{gathered}[/tex]

Now if we take into consideration that Henrietta makes her drinks extremely very fast or in a very small amount of time.

Then, the value of h will be somewhere around 0 - 1.

So, when hours approach zero.

[tex]\begin{gathered} If\text{ h=0} \\ d(h)=\frac{128}{8}+\frac{128}{0}=16+\infty=\infty \end{gathered}[/tex]

Therefore option A is correct.

Final answer -

Hence the final answer is option A.