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]