Mathematics
Grade10
Easy

Question

You have a summer job that pays time and a half for overtime (any hours over 40 in a week). Overtime is 1.5 times your hourly rate of $ 7.00/hr. How much money will you make if you work 50 hours in one week?

  1. $ 385
  2. $ 350
  3. $ 525
  4. $ 400

hintHint:

Here, the pay is function of number of hours worked in a week.

The correct answer is: $ 385


    We have to find the amount paid for working 50 hours in a week if the pay is $7 per hour and the overtime pay is 1.5 times the normal pay.
    Let x be the number of hours and f(x) be the pay.
    f(x) = 7x, x ≤ 40
    f(x) = 7×40 + (1.5×7)(x – 40) = 280 + 10.5x – 420 = 10.5x – 140 (when x > 40)
    For x = 50, f(x) = 10.5x – 140 = 10.5×50 – 140 = $385.
    Hence, the correct option is B.

    We can also find the total pay by multiplying 40 by 7 and 10 by 10.5 and then adding the results.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.