Question 14 Answer and Explanation _ACT April 2016 Form 73E Math Section

14. The phrases below represent 3 types of measurements as functions of time.

I. The height of an object falling toward the ground

II. The height of a plant growing at a constant rate

III. The distance a car travels while increasing its velocity

Graghs A, B, and C below each represent one of these functions. For all graphs, the x–axis represents time. Which graph is of which function?

F. Graph A: I; Graph B:Ⅱ; Graph C:Ⅲ

G. Graph A:Ⅱ; Graph B:Ⅰ; Graph C:Ⅲ

H. Graph A:Ⅱ; Graph B:Ⅲ; Graph C:Ⅰ

J. Graph A:Ⅲ; Graph B:Ⅰ; Graph C:Ⅱ

K. Graph A:Ⅲ; Graph B:Ⅱ; Graph C:Ⅰ

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

The y value in graph A is growing at a constant speed, corresponding to statement 2; graph B is a curve of accelerated decline, corresponding to statement 1; graph C is a curve of accelerated rise, corresponding to statement 3. Therefore G.