The mayor of Harbor City made this table to show the expected population of the city each year after the new bridge was built.



Number of Years

after New Bridge

Population of Harbor City
0 100,000
1 110,000
2 121,000
3 133,100

Question
Which explains why the relationship between the number of years and the population is exponential?

Answer options with 4 options
A.
The population increases by the same percent each year.

B.
The population increases by different amounts each year.

C.
The population increases by increasing amounts each year.

D.
The population increases by an unexpected amount each year.

1 answer

C. The population increases by increasing amounts each year.

Explanation: In an exponential relationship, the population grows by increasing amounts each year. This is evidenced by the fact that in the given table, the population increases by 10,000 in the first year, then by 11,000 in the second year, and so on. This pattern of increasing growth indicates an exponential relationship.