Question

EJ has shown that a function, f(x) grows by 12% for every unit in the domain. What does this prove?

The function f(x) is an anthmetic sequence
The function f(x) is a geometric sequence
The function f(x) is not a sequence
This does not prove anything

Answer 1

Answer: B

B-The Function f(x) is a geometric sequence

Ive done the test before, this was correct. glad i could help

Answer 2

The function f(x) is a geometric sequence

Explanation:

If we let the first value of this function be denoted by y, then the second value will grow by;

12% of y

= (12/100)*y = 0.12y

The second value will thus be;

y + 0.12y = 1.12y

The third value will grow by;

12% of 1.12y

= (12/100)*1.12y = 0.12(1.12y)

The third value will thus be;

1.12y + 0.12(1.12y)

= 1.12y(1 + 0.12)

= 1.12y * 1.12 =
`1.12^(2)y`

The function f(x) will thus have the sequence;

y, 1.12y,
`1.12^(2)y`, ans so on. This is clearly a geometric sequence since we have a common ratio of 1.12.