Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let T be the number of hours Susan worked this month. Write an expression for the combined total dollar amount she earned this month. <, >, greater than or equal to, less than or equal to?

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Answer:

[tex]\$(990-t)[/tex]

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

[tex]t+y=90[/tex]

[tex]y=90-t[/tex]-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

[tex]z=10t+11y[/tex] ----> equation B

substitute equation A in equation B

[tex]z=10t+11(90-t)[/tex]

[tex]z=10t+990-11t[/tex]

[tex]z=990-t[/tex]

therefore

The expression for the combined total dollar amount is $(990-t)

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