Question 57 Answer and Explanation _ACT April 2005 Form 60E Math Section

57. In creating a business plan for a cycle shop that sells both tricycles and bicycles, a business analyst graphed the inventory constraints set by the shop owner, and then shaded the region, shown below, where all of the constraints were met. Which of the following statements defines the shaded region?

A. The number of tricycles exceeds 30, and the number of bicycles exceeds 30.

B. The number of tricycles exceeds 30, and the number of bicycles is less than the number of tricycles.

C. The number of tricycles is less than 100, and the number of bicycles is less than 100.

D. The number of tricycles and bicycles together exceeds 100, and the number of bicycles is less than 100.

E. The number of tricycles and bicycles together is less than 100, and the number of tricycles exceeds 30.

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

y=30 means that there are 30 tricycles, and the line y=x+100 represents the case where the sum of bicycles and tricycles is 100. Therefore E.