Question

Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What is

the first year the f(x) height is greater than the g(x) height?

A) year 0

B) year 1

C) Year 2

D) year 3

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Answer 1

I believe you answer would be D

Answer 2

None of them.

Explanation:

you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have

`4x>5x+2\rightarrow -2>5x-4x=x` . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.