Question

Which situation is most likely to have a constant rate of change? A. Length of a bead necklace compared with the number of identical beads B. Distance a school bus travels compared with the number of stops C. Number of trees in a park compared with the area of the park D. Number of runs scored in a baseball game compared with the number of innings

Answer 1

Answer: A. Length of a bead necklace compared with the number of identical beads

Step-by-step explanation:

A. Length of bead necklace increases simultaneously compared with the increases in number of identical beads . This is a proportional relationship .

So, There is constant rate of change which is equals to the length of each bead.

B. Distance a school bus travels compared with the number of stops .

There is no constant rate of change between the quantities .[The time when bus stops matter]

C.Number of trees in a park compared with the area of the park.

There can be free space ,so there is not proportional relationship .

D.Number of runs scored in a baseball game compared with the number of innings

Not proportional relationship.

Answer 2

Answer:

A. Length of a bead necklace compared with the number of identical beads

Step-by-step explanation:

Using identical beads in a necklace means that the length of the necklace will depend on the total number of identical beads in the necklace.

For each bead added, the length of the necklace will increase a given, constant, amount.  This is a constant rate of change.