Question

read each relationship and decide whether its graph would be continuous or discrete. number of students per teacher the height of a plant as it grows amount of fuel and distance traveled amount of chairs for each table continuous graph discrete graph

Explanation:

Continuous graphs represent data that can take any value within a range (no gaps, measurable). Discrete graphs represent data that can only take specific, separate values (countable, distinct).

1. Plant height changes smoothly over time, taking any value in a range.
2. Fuel usage and distance traveled have a smooth, measurable relationship (any small amount of fuel used corresponds to a small distance).
3. Number of students is a countable, whole number—you can't have a fraction of a student per teacher.
4. Number of chairs is a countable, whole number—you can't have a fraction of a chair per table.

Answer:

Continuous Graph

• the height of a plant as it grows
• amount of fuel and distance traveled

Discrete Graph

• number of students per teacher
• amount of chairs for each table