Question

The graph shows the number of paintballs a machine launches, y, in x seconds::

A graph titled Rate of Launch is shown. The x axis label is Time in seconds, and the x axis values are from 0 to 20 in increments of 4 for each grid line. The y axis label is Number of Balls, and the y axis values from 0 to 80 in increments of 16 for each grid line. A line is shown connecting points on ordered pair 4, 16 and 8, 32 and 12, 48 and 16, 64.

Which expression can be used to calculate the rate per second at which the machine launches the balls?
fraction 64 over 4
fraction 4 over 64
fraction 16 over 4
fraction 4 over 16

Answer 1

a fraction should be number of balls over time per second

 so it should be 16/4 which is 4 balls per second

Answer 2

Answer: fraction 16 over 4

Step-by-step explanation:

The given graph shows the number of paintballs a machine launches, y, in x seconds.

We know that the rate of change of a line is given by :-

$k=\frac{y_2-y_1}{x_2-x_1}$

The ordered pairs on the line in graph are (4, 16) and (8, 32) and (12, 48) and (16, 64).

Thus, the rate per second at which the machine launches the balls is given by :-

[tex]k=\frac{32-16}{8-4}=\frac{16}{4}