SAT Math Multiple Choice Question 504: Answer and Explanation
|State||Minimum Wage per Hour|
9. The table above shows the 2014 minimum wages for several states that share a border. Assuming an average workweek of between 35 and 40 hours, which inequality represents how much more a worker who earns minimum wage can earn per week in Oregon than in Idaho?
- A. x ≥ 1.85
- B. 7.25 ≤ x ≤ 9.10
- C. 64.75 ≤ x ≤ 74
- D. 253.75 ≤ x ≤ 364
Correct Answer: C
Category: Heart of Algebra / Inequalities
Strategic Advice: The best way to answer this question is to pretend you are the worker. How much more would you earn for one hour in Oregon than in Idaho? If you worked 35 hours per week, how much more would this be? If you worked 40 hours per week, how much more would this be?
Getting to the Answer: Based on the data in the table, a worker would earn $9.10 - $7.25 = $1.85 more for one hour of work in Oregon than in Idaho. If he worked 35 hours per week, he would earn 35(1.85) = $64.75 more. If he worked 40 hours per week, he would earn 40(1.85) = $74 more. So, the worker would earn somewhere between $64.75 and $74 more per week, which can be expressed as the compound inequality 64.75 ≤ x ≤ 74.