Question

Read each relationship and decide whether it’s a graph would be continuous or discrete

Answer 1

Continuous Graph-

• Amount of fuel and distance traveled.
• The height of a plant as it grows.

Discrete Graph-

• Number of students per teacher.
• Amount of chairs per table.

(Got it correct. Hope this helped!)

Answer 2

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.

Explanation:

In mathematics the word discrete means that it takes distinct values and continuous means that there are infinite value between each value.

1)

• Number of students per teacher.

Here as we know that a whole of a teacher would be assigned for some children this means that it takes a particular value and not all of the values especially the decimal values.

2)

• The height of a plant as it grows.

As we know that the height of a plant grows continuously over a span of time.

Hence, the graph of this situation will be continuous.

3)

• Amount of fuel and distance traveled.

Since, the amount of the fuel required over a distance will be continuous and the fuel used could be in decimals not necessarily in integers.

Hence, we will get a continuous graph for this situation.

4)

• Amount of chairs for each table.

As we know that the amount of chairs are always required as a whole.

Hence, the graph of it will be discrete.