Option C: Company A's payments grow by a factor of 2
Explanation:
We need to determine the statement which is false.
Option A: A linear function represents Company A's payments.
From the table, it is obvious that the y - value increases by adding 5000.
Thus, the payments of company A can be written in linear function.
Hence, the statement a linear function represents Company A's payments is true.
Therefore, Option A is not the correct answer.
Option B: An exponential function represents Company B's payments.
From the table, it is obvious that the y - value increases by a factor of 2.
Thus, the payments of company B can be written in exponential function.
Hence, the statement an exponential function represents Company B's payments is true.
Therefore, Option B is not the correct answer.
Option C: Company A's payments grow by a factor of 2.
From the table, it is obvious that the y - value increases by adding the 5000.
Hence, the statement Company A's payments grow by a factor of 2 is false.
Therefore, Option C is the correct answer.
Option D: Company B's payments grow by a factor of 2.
From the table, the y - value increases by a factor of 2.
Hence, the statement Company B's payments grow by a factor of 2 is true.
Therefore, Option D is not the correct answer.