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:

1. Analyze the number line: The graph has a segment from 55 (closed dot) to 65 (closed dot), meaning the values are \( 55 \leq x \leq 65 \).
2. Evaluate Option A: "Within 5 degrees of 60" means \( |x - 60| \leq 5 \), so \( 55 \leq x \leq 65 \). This matches the number line.
3. Evaluate Option B: "More than 55 and less than 65" is \( 55 < x < 65 \), but the graph has closed dots (inclusive), so this does not match.
4. Evaluate Option C: "Less than 55 or more than 65" is \( x < 55 \) or \( x > 65 \), which is the opposite of the graph.
5. Evaluate Option D: "Greater than $55 but less than $65" is \( 55 < x < 65 \), again not matching the inclusive endpoints.

Answer:

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