Question

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?

Answer 1

$2,928

Explanation:

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

`61` ×
`1.5=91.5`

Let
`x` equal hours less than or equal to
`8.`

Let
`y` equal the number of hours worked over
`8` hours.

Let
`t` equal gross earnings.

Start with an equation:

`61x+91.5y=t`

Monday:

`61(7)=427`

Tuesday:

`61(8)+91.5(1) = 579.5`

Wednesday:

`61(8)+91.5(1) = 579.5`

Thursday:

`61(8)+91.5(2) = 671`

Friday:

`61(7)=427`

Saturday:

`61(4)=244`

Now, total the gross earnings of each day.

`427+579.5+579.5+671+427+244`

Solve.

`2928`