Question

14 multiple choice 4 points
an amusement park allows free entry to children younger than 4 years old, but all
other ages must purchase a ticket. the park sells child, teen, adult, and senior tickets.
to buy a child ticket you must be at least 4 years old and no more than 12 years old.
which number line best shows the child ticket ages?

Explanation:

Step1: Analyze the age range

The age range for a child ticket is \(4\leqslant x\leqslant12\).

Step2: Check the number - line representations

• In the first option, the line starts at \(4\) (closed circle) and ends at \(12\) (closed circle), which represents \(4\leqslant x\leqslant12\).
• The second option has the line starting from the left - hand side (incorrect as the lower bound is \(4\)).
• The third option just marks individual points (not a range).
• The fourth option has the line starting at \(12\) (incorrect as the lower bound is \(4\)).

Answer:

The first option (the number line that starts at \(4\) (closed circle) and ends at \(12\) (closed circle)).