A roller coaster will only run with a certain number of people on board. The graph below represents the solution of an inequality that tells how many people the roller coaster needs to run.
Which statement tells you how many people the roller coaster needs to run?
A. The roller coaster will only run with fewer than 20 people.
B. The roller coaster will only run with 20 or fewer people.
C. The roller coaster will only run with more than 20 people.
D. The roller coaster will only run with 20 or more people.
B. The roller coaster will only run with 20 or fewer people.
D. The roller coaster will only run with 20 or more people.
To determine which statement tells how many people the roller coaster needs to run, we need to analyze the inequality graph. The graph consists of points that lie either above or below a certain line.
If the line on the graph is solid, it means that the inequality includes the value at that line. In this case, the line is dotted, which means the inequality does not include the value at that line.
Looking at the graph, we can see that it slopes downward from left to right. This indicates that the roller coaster will only run with a certain number of people, which is less than the number indicated by the graph at any given point.
Now let's consider the inequality represented by the graph, where x represents the number of people the roller coaster needs to run:
x < 20
Since the line is dotted and does not include the value at 20, we can conclude that the roller coaster will only run with fewer than 20 people.
Therefore, the statement that tells how many people the roller coaster needs to run is:
A. The roller coaster will only run with fewer than 20 people.