Question

Chari performed a series of jumps on a trampoline. Her coach measured the heightof each jump. The coach's data was recorded in the table at right. Homework HelpJump HeightNumber (feet)10.5a. Graph the data.20.9b. Fully describe the graph.31.642.9c. If you used a function to model this data, it would make sense to limit themaximum and minimum values for jump heights. Why? What are reasonablelimits (maximum and minimum) for the jump heights?55.2

Answer 1

The given table is

Jump (x) Height (y)

1 0.5

2 0.9

3 1.6

4 2.9

To graph this data, we are going to call x the jumps and y heights. Having said that, the point we need to graph are (1, 0.5), (2, 0.9), (3, 1.6) and (4, 2.9).

(a) Graph

(b) As you can see in the graph above, the behaviour of the relationship between each jump and its height is not linear. However, such a relationship is increasing, because the more jumps, higher distance Chari reaches.

(c) Actually, it would make sense to limit the maximum and the minimum of a function to model this relationship between jumps and height, because Chari can't just jump an infinite distance, she has certain limits to reach.