Select the word from the list that best fits the definition tu madre espera que tú en casa a las ocho. hable hagan sepa estès escribamos

  The correct answer is:   [D]:

                          →   " estés " .

{ Note: The correct accent is:  " é " ;  for:  "estés" .}.

From the answer choices given, "estés" — is the only Spanish verb that is conjugated in the "present subjunctive tense" for the Spanish subject pronoun, "tú" ;  which translated to "you"— referring  to the "informal" version of "you"— and is the second person, singular pronoun.  

We know to use the subjunctive from examining the text before the

"blank space" ;  which is:  "Tu madre espera que tú " ;

                           that is:  " Your mother hopes that you " ;

{Note:  "Your mother "hopes that" (but doesn't know the outcome; or the outcome is not exactly certain) ;  indicates:  "use the subjunctive" .

              Furthermore, "estés" — which is the conjugated verb that corresponds to the Spanish subject pronoun, "tú" — form of the Spanish verb "estar" (to be) ;

          →   makes sense:

             "Tu madre espera que tú  estés   en casa a los ocho." .

    →  which translates to:

             " Your mother hope that you are at home at eight o'clock."

 Hope this helps!

            Best wishes to you!