Answer :
Answer:
Step-by-step explanation:
Suppose that at time [tex]t_0[/tex] we have x mold cells. We are told that after 12 minutes the amount present is double. That is a [tex]t= t_0+12[/tex] we have 2x cells. Then, at [tex]t = t_0+24[/tex] we have (2x)*2 = 4x. We can continue as follows
[tex]t: t_0+36[/tex] we have (4x)*2 = 8x.
[tex]t: t_0+48[/tex] we have (8x)*2 = 16x
[tex]t: t_0+60[/tex] (one hour later) we have (16x)*2 = 32x.
So after one hour from now we have 32x cells.
The no. of mold cells one hour from now will be 32[tex]x[/tex].
Given,
The number of mold cells doubles every 12 minutes.
Let at time [tex]t[/tex] we have x mold cells.
So, after 12 minutes, the no of molds at[tex],t_{12} =t+12[/tex] the no. of mold will be[tex]2x.[/tex]
After further 12 minutes at, [tex]t_{24} =t+24[/tex], the no. of mould will be [tex]4x[/tex].
After further 12 minutes at, [tex]t_{36} =t+36[/tex], the no. of mold will be [tex]8x[/tex].
After further 12 minutes at, [tex]t_{48} =t+48[/tex], the no. of mold will be [tex]16x.[/tex]
After further 12 minutes at, [tex]t_{60} =t+60[/tex], the no. of mold will be [tex]32x[/tex].
Hence the no. of mold cells one hour from now will be 32[tex]x[/tex].
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