Question

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

Explanation:

• Continuous graphs represent data that can take any value within a range (no gaps). Plant height grows smoothly, fuel and distance have infinite intermediate values.
• Discrete graphs represent countable, whole-number data (gaps exist). Chairs per table and students per teacher are whole, non-divisible counts.

Answer:

Continuous Graph:

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

Discrete Graph:

amount of chairs for each table
number of students per teacher