Heather works as a tutor for 7 an hour and as a waitress for 14 an hour. This month, she worked a combined total of 95 hours at her two jobs.
Let t be the number of hours Heather worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month
I think its
hours worked as tutor --- h
hours worked as waitress = 95-h
income = 7h + 14(95-h)
To find the combined total dollar amount Heather earned this month, we need to calculate the amounts she earned as a tutor and as a waitress separately, and then add them together.
Let's use the variable t to represent the number of hours Heather worked as a tutor this month.
The amount Heather earned as a tutor can be calculated by multiplying the number of hours she worked as a tutor (t) by her hourly rate of $7: 7 * t.
The amount Heather earned as a waitress can be calculated by multiplying the number of hours she worked as a waitress (95 - t, since the total hours worked is 95 and t represents the hours worked as a tutor) by her hourly rate of $14: 14 * (95 - t).
Now, we can write the expression for the combined total dollar amount Heather earned this month:
7t + 14(95 - t)
Simplifying the expression gives us:
7t + 1330 - 14t
Combine the like terms:
-7t + 1330
Therefore, the expression for the combined total dollar amount Heather earned this month is -7t + 1330.