B. 2.4 weeks
Step-by-step explanation:
The equations for the growth rate of the plants are given by,
Plant A:
Plant B: ,
where y = height of the plants (in inches) and x = time (in weeks).
It is required to find the number of weeks after which the plants reach the same height.
As, the plants will reach the same height. So, we get,
i.e.
i.e. x = 2.4
Hence, after 2.4 weeks, the height of both the plants will be the same.