Question

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?

Answer 1

`\$(990-t)`

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

`t+y=90`

`y=90-t`-----> 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

`z=10t+11y` ----> equation B

substitute equation A in equation B

`z=10t+11(90-t)`

`z=10t+990-11t`

`z=990-t`

therefore

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