Question

which scenario can be modeled using the graph below?
50 52 54 56 58 60 62 64 66 68 70
a temperature range is within 5 degrees of 60 degrees fahrenheit.
a scientist uses more than 55 and less than 65 ml of water in an experiment.
a commuter train takes less than 55 minutes or more than 65 minutes to complete one route.
a worker makes greater than $55 per day but less than $65 per day.

Explanation:

First, analyze the number line graph: it has closed circles at 55 and 65, with the segment between them shaded. This represents all values that are greater than or equal to 55 and less than or equal to 65.

• Option 1: "Within 5 degrees of 60" means $55 \leq T \leq 65$, which matches the graph (closed circles at 55 and 65, shaded interval between).
• Option 2: "More than 55 and less than 65" uses open circles, which does not match the closed circles on the graph.
• Option 3: This describes values less than 55 OR more than 65, which is the opposite of the shaded interval.
• Option 4: "Greater than $55 and less than $65" uses open circles, which does not match the closed circles on the graph.

Answer:

A. A temperature range is within 5 degrees of 60 degrees Fahrenheit.