Sue and Juan both get paid an hourly wage of $11.00 per hour for x hours of work. Sue was paid an extra $33.00 for overtime work. Which expressions are equivalent to the amount of money Sue and Juan were paid together?

I. $11.00x + $11.00x + $33.00

II. 2($11.00x) + $33.00

III. 2($11.00 x + 33.00)

IV. 5($11.00x)

V. $22.00x + $33.00

Question 4 options:

I, II, III


I, II, and V


I, II, IV, and V


All of the expressions are equivalent

Respuesta :

W0lf93
Number of hours = x 
Hourly rate = $11
 Number of employees = 2
 Extra payment for over time for only one worker = 33. 
 The correct expressions that are equivalent to the amount of money paid to
Sue and Juan together are;
 i. $11.00x + $11.00x + $33.00 
 ii 2($11.00x) + $33.00
 v. $22.00x + $33.00 
 All these expressions are equivalent. Option ii is simplified form of option i and option iii is more simplified form of option ii.  
 Option iii is wrong because we will have to multiply $33 with the common multiplier outside the bracket and the extra money paid for overtime work becomes 66. 
 Option iv is meaningless since it doesn't show the extra payment for overtime. We also do not know how the number 5 has appeared outside the bracket as a common multiplier.