Using the table below, evaluate whether a monkey's age in years is a function of its height in inches.

Height (inches) Age (years)

30 2

28 3

36 4

36 5

44 6

A.

Yes, because there are no two monkeys in this table with the same age.

B.

Yes, because each monkey's height is bigger than its age.

C.

No, because the difference between each height is not consistent.

D.

No, because a 4 year old and a 5 year old monkey are both 36 inches.

Question

Mathematics

Beatrice Graham

16 September, 15:11

Using the table below, evaluate whether a monkey's age in years is a function of its height in inches.

Height (inches) Age (years)

30 2

28 3

36 4

36 5

44 6

A.

Yes, because there are no two monkeys in this table with the same age.

B.

Yes, because each monkey's height is bigger than its age.

C.

No, because the difference between each height is not consistent.

D.

No, because a 4 year old and a 5 year old monkey are both 36 inches.

+5

Answers (1)

Know the Answer?

Jordin Rivera · Answer 1

Correct answer is D.

For one value of x function y=f (x) cannot have two values for y.

Since monkey's age in years is a function of its height, we have function a=f (h), where a is monkey's age in years and h is its height.

For one value of h function a=f (h) cannot have two values for a. But for the height of 36 inches, we have two values for a, 4 and 5. Therefore, function a=f (h) cannot exist.