Final answer:
The only correct expression that represents the weekly earnings of a salesperson, based on the given expression 30h + 120, is Option 1, which is the same as the original expression.
Step-by-step explanation:
The expression given is 30h + 120, which represents the weekly earnings of a salesperson who gets paid $30 per hour and has a weekly base pay of $120. To find an equivalent expression, we need to keep the same relationship of hours worked to total pay.
Let's analyze the options:
- Option 1: 30h + 120 - This is the original expression and therefore represents the same weekly earnings.
- Option 2: 30h - 120 - Subtracting 120 would not give us the correct total earnings. This is not equivalent to the original expression.
- Option 3: 30h * 120 - Multiplying by 120 would greatly increase the earnings and not correctly represent the pay structure. This is also not equivalent.
- Option 4: 30h / 120 - Dividing by 120 would decrease the hourly rate, and does not reflect the pay structure correctly. This is not equivalent either.
The only expression that also represents the weekly amount the salesperson earns working h hours, just like the original formula, is Option 1: 30h + 120.