Question

State	Minimum Wage per Hour
Idaho	$7.25
Montana	$7.90
Oregon	$9.10
Washington	$9.32

The minimum wages for several states that share a border for the year $2015$ is shown in above table. Assuming the average working hours per week is to be $35-40$ hrs, mark the inequality representing how much more a worker who earns minimum wage in Idaho can earn per week in Oregon.

• A. $x\ge 1.85$
• B. $7.25\le x\le 9.10$
• C. $64.75\le x\le 74$
• D. $253.75\le x\le 364$

Answer 1

Answer: (C)

$64.75\le x\le 74$

Since we need the range of minimum wage which a worker can earn working in Oregon rather than in Idaho, we subtract the minimum and maximum working hours multiplied by the respective wages as under:

The upper limit of the range would be given by $40\times 9.10-40\times 7.25=74$

The lower limit would be given by $35\times 9.10-35\times 7.25=64.75$

Thus, depending on the number of hours per week the worker works, the range is given by $64.75\le x\le 74$