Question

Sam works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Sam worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answer 1

Answer:
`-4t+1590`

Explanation:

The complete exercise is:

"Sam works as a tutor for $11 an hour and as a waiter for $15 an hour. This month, he worked a combined total of 106 hours at his two jobs. Let "t" be the number of hours Sam worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."

Let be "t" the number of hours Sam worked as a tutor this month and "w" the number of hours Sam worked as a waiter this month.

Then:

1. You know that he earned $11 per hour working as a tutor . This can be represented with this expression:

`11t`

2. Since he earned $15 per hour working as a waiter,you can represented this with this expression:

`15w`

3. Then, the total amount of money in dollars he earned this month can expressed as:

`11t+15w`

4. Since he worked a combined total of
`106` hours at his two jobs this month, you know that:

`t+w=106`

Solving for "w":

`w=106-t`

5. Substitute
`w=106-t`] into the expression
`11t+15w`, then:

`11t+15(106-t)`

6. Simplifying, you get:

`=11t+1590-15t=-4t+1590`