Question

The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height? Explain.

Answer 1

Answer: No

Explanation:

The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.

3(4x+2) = 6(2x+2)

12x + 6 = 12x+2

6 = 12?? No

They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)