Last week, Tina worked 7 hours on Monday, 9 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, 7 hours on Friday, and 4 hours on
Saturday. Her rate is $61 per hour. She gets paid time-and-a-half for all hours worked over 8 per day. What were her gross earnings for the
week?

Using the equation below, note that for days in which she worked more than [tex]8[/tex] hours, we will be multiplying the number hours worked over [tex]8[/tex] hours by [tex]91.5.[/tex]

[tex]61[/tex] × [tex]1.5=91.5[/tex]

Let [tex]x[/tex] equal hours less than or equal to [tex]8.[/tex]

Let [tex]y[/tex] equal the number of hours worked over [tex]8[/tex] hours.

Let [tex]t[/tex] equal gross earnings.

Start with an equation:

[tex]61x+91.5y=t[/tex]

Monday:

[tex]61(7)=427[/tex]

Tuesday:

[tex]61(8)+91.5(1) = 579.5[/tex]

Wednesday:

[tex]61(8)+91.5(1) = 579.5[/tex]

Thursday:

[tex]61(8)+91.5(2) = 671[/tex]

Friday:

[tex]61(7)=427[/tex]

Saturday:

[tex]61(4)=244[/tex]

Now, total the gross earnings of each day.

[tex]427+579.5+579.5+671+427+244[/tex]

Solve.

[tex]2928[/tex]

Last week, Tina worked 7 hours on Monday, 9 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, 7 hours on Friday, and 4 hours on Saturday. Her rate is $61 per hour. She gets paid time-and-a-half for all hours worked over 8 per day. What were her gross earnings for the week?

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Last week, Tina worked 7 hours on Monday, 9 hours on Tuesday, 9 hours on Wednesday, 10 hours on Thursday, 7 hours on Friday, and 4 hours on
Saturday. Her rate is $61 per hour. She gets paid time-and-a-half for all hours worked over 8 per day. What were her gross earnings for the
week?