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 graph: The number line has a filled dot at 56, an open dot at 66, and the line is between them, so the inequality is \(56 \leq x < 66\) (or equivalent, considering the context of each option).
2. Analyze Option A: "Within 5 degrees of 60" means \(|x - 60| \leq 5\), which simplifies to \(55 \leq x \leq 65\). But the graph has a filled dot at 56 (which is \(60 - 4\)) and open at 66 (\(60 + 6\)), but the range \(55 \leq x \leq 65\) is close to the graph's \(56 \leq x < 66\) (maybe a slight mis - mark or interpretation, but let's check others).
3. Analyze Option B: "More than 55 and less than 65" is \(55 < x < 65\). The graph's range is from 56 (inclusive) to 66 (exclusive), so this doesn't match.
4. Analyze Option C: "Less than 55 or more than 65" would be two separate rays (left of 55 and right of 65), but the graph is a segment between 56 and 66, so this is incorrect.
5. Analyze Option D: "Greater than 55 and less than 65" is \(55 < x < 65\), which doesn't match the graph's range of \(56 \leq x < 66\).

For Option A, "within 5 degrees of 60" is \(60 - 5=55\) and \(60 + 5 = 65\), but the graph's filled dot at 56 (maybe a typo in the graph or a slight mis - interpretation of "within 5" as starting from 56) is the closest. The other options clearly don't match the graph's interval (a segment from 56 (inclusive) to 66 (exclusive)).

Answer:

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