Question

a person must be at least 48 inches tall to ride a roller coaster. which number line below represents h, the height of a person who can ride the roller coaster? (then there are four number line options with marks at 0,10,20,30,40,50, some with closed or open circles and arrows)

Explanation:

Step1: Define height condition

A person must be at least 48 inches tall, so this translates to the inequality $h \geq 48$.

Step2: Analyze number line rules

A closed dot (●) is used for $\geq$ or $\leq$ (includes the value), and the arrow points to values greater than the number for $\geq$.

Step3: Match to correct number line

The first number line has a closed dot at 50 (closest to 48, representing the minimum height threshold) and an arrow pointing to the right (toward larger heights), which matches $h \geq 48$.

Answer:

The first number line (with a closed dot at 50 and arrow pointing right: $\xleftarrow{~~~~}0~~~~10~~~~20~~~~30~~~~40~~~~\boldsymbol{\bullet}50\xrightarrow{~~~~}$)