Question

which of the following best describes a reasonable range for this situation? (with a chart titled gallons of gas remaining showing a line graph)
option 1: all real numbers greater than or equal to 0 and less than or equal to 400
option 2: all real numbers less than or equal to 25
option 3: all real numbers greater than or equal to 0 and less than or equal to 25
option 4: all real numbers greater than or equal to 400

Explanation:

Step1: Identify graph axes

The x-axis is "Gallons of Gas Remaining" (0 to 25), y-axis is "Miles Driven" (0 to 400).

Step2: Define range of a function

Range is all possible y-values. Here, y starts at 0 (0 miles driven, full gas) and goes up to 400 (empty gas, max miles).

Step3: Match to options

The valid range is all real numbers ≥0 and ≤400.

Answer:

1. All real numbers greater than or equal to 0 and less than or equal to 400