Q:

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?

Accepted Solution

A:
Answer:[tex]\$(990-t)[/tex] Step-by-step explanation:The correct question isSusan 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 monthLett -----> the number of hours that Susan work as a tutory ----> the number of hours that Susan work as a waitressz ---> the combined total dollar amount she earned this monthwe know that [tex]t+y=90[/tex][tex]y=90-t[/tex]-----> equation Awe know thatThe 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 Bsubstitute equation A in equation B[tex]z=10t+11(90-t)[/tex] [tex]z=10t+990-11t[/tex] [tex]z=990-t[/tex] thereforeThe expression for the combined total dollar amount is $(990-t)