keiko works as a tutor for $8 an hour and a waitress for $9 an hour. This month, she worked a combined total of 100 hours at her two jobs. Let t be the number of hours keiko worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.​

Respuesta :

Answer:   [tex]T=800+t[/tex]

Step-by-step explanation:

You have the following information given in the problem:

- She  works as a tutor for $8 an hour and a waitress for $9 an hour.

- The total hours she worked  at her two jobs is 100 hours.

 Therefore, have:

[tex]w=100-t[/tex] ( [tex]w[/tex] is the total of hours she worked at his job as a waitress)

[tex]T=8w+9t[/tex] ([tex]T[/tex] is the total dollar amount she earned this month)

Substitute [tex]w=100-t[/tex] into the [tex]T=8w+9t[/tex] and simplify. Then, the expression asked is:

[tex]T=8(100-t)+9t[/tex]

[tex]T=800-8t+9t[/tex]

 [tex]T=800+t[/tex]