Your job pays you $20 an hour for a typical work week. If you work more than 40 hours in a week, you earn $30 an hour for each hour over 40 that you work in the week.

Use the graph to solve for how much you will make for the week if you work 45 hours.

(1 point)
Responses

$950
950 dollars

$1,100
1 dollars comma 100

$1,350
1 dollars comma 350

$900

1 answer

To calculate your earnings for the week if you work 45 hours, we can break it down as follows:

  1. Regular hours: You earn $20 per hour for the first 40 hours.

    • For 40 hours: \( 40 \text{ hours} \times 20 \text{ dollars/hour} = 800 \text{ dollars} \)
  2. Overtime hours: You earn $30 per hour for each hour over 40 hours. If you worked 45 hours, then you worked 5 hours of overtime.

    • For 5 overtime hours: \( 5 \text{ hours} \times 30 \text{ dollars/hour} = 150 \text{ dollars} \)
  3. Total earnings for the week: Add your regular earnings and overtime earnings together.

    • Total = Regular earnings + Overtime earnings
    • Total = 800 dollars + 150 dollars = 950 dollars

Therefore, if you work 45 hours, you will make $950 for the week.