Question 49 Answer and Explanation _ACT April 2021 Form Z04 Math Section

Use the following information to answer questions 48–50.

The quadratic function f and △MPQ are graphed in the standard (x,y) coordinate plane below. Points M(2a, 5b), N(4a, 9b), and P(6a, 5b) are on f. Point Q(4a, 0) is NOT on f.

49. Point M will remain fixed, and point Q will move to the right along the x-axis. As Q continues to move to the right, which of the following statements describes what will happen to the slope of MQ?

A. It will decrease and eventually be negative.

B. It will decrease but never be negative.

C. It will stay the same.

D. It will increase but never be positive.

E. It will increase and eventually be positive.

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

MQ slope: (5b-0) / (2a-4a) = -5b/2a, which is a negative number. As the abscissa (4a) of Q becomes larger, the slope becomes larger (closer to 0)