The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a to

Question

4 years ago

11

The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a to

tal of 10 days. How do the functions in the table compare? A. Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start. B. Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start. C. Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B. D. Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.

Mathematics

1 answer:

Verizon [17] · Answer 1 · 2022-03-01T13:58:06+03:00

Answer:

A. False

B. True

C. False

D. False

Step-by-step explanation:

A. Since x-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

False, it is the y-intercept of the function that indicates the amount at the start of the experiment.

B. Since y-intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.

True, the y-intercept is given when x = 0, indicating the inicial value of the function.

C. Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.

False, because the maximum value of each table is given in different times, and also the inicial value of each table is different.

D. Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.

False, the growth rate is not given by the inicial value. If we model both tables with an exponencial function, the count of bacteria A quadruped in two days, and the count of bacteria B doubled in one day, so they have the same growth rate.