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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.

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luisejr77

Answer: [tex]-4t+1590[/tex]

Step-by-step 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:

[tex]11t[/tex]

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

[tex]15w[/tex]

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

[tex]11t+15w[/tex]

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

[tex]t+w=106[/tex]

Solving for "w":

[tex]w=106-t[/tex]

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

[tex]11t+15(106-t)[/tex]

6. Simplifying, you get:

[tex]=11t+1590-15t=-4t+1590[/tex]

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