yeast-colonies-can-be-considered-cylinders-of-constant-height-the-number-of-yeas

Question

Yeast colonies can be considered cylinders of constant height. The number of yeast cells in a colony can be calculated using the linear function ﻿N(A)=CsAN\left(Aight)=$$C_{s}AN(A)=Cs$$​A﻿, where the constant C_{s} is the cell-surface coefficient, and ﻿AAA﻿ is the cross-sectional area of the colony. Debaryomyces fabryi is a yeast commonly found in all types of cheese. Determine the value of C_{s} for a colony of this yeast with a cross-sectional area of ﻿505050﻿ $$mm^{2}$$ containing ﻿260×106260	imes{$$10^6$$}260×106﻿ yeast cells. Calculate the number of yeast cells in the colony with a cross-sectional area of ﻿100100100﻿ $$mm^{2}.$$

Accepted Answer

﻿Cs=5.2×106C_{s}=5.2	imes{$$10^6$$}Cs​=5.2×106﻿ yeast $$cells/mm^{2}$$, ﻿N(A)=520×106N\left(Aight)=520	imes{$$10^6$$}N(A)=520×106﻿ yeast cells

Answer

﻿Cs=9.8×106C_{s}=9.8	imes{$$10^6$$}Cs​=9.8×106﻿ yeast $$cells/mm^{2}$$, ﻿N(A)=23×106N\left(Aight)=23	imes{$$10^6$$}N(A)=23×106﻿ yeast cells

Answer

﻿Cs=3.5×106C_{s}=3.5	imes{$$10^6$$}Cs​=3.5×106﻿ yeast $$cells/mm^{2}$$, ﻿N(A)=73×106N\left(Aight)=73	imes{$$10^6$$}N(A)=73×106﻿ yeast cells

Answer

﻿Cs=1.3×106C_{s}=1.3	imes{$$10^6$$}Cs​=1.3×106﻿ yeast $$cells/mm^{2}$$, ﻿N(A)=130×106N\left(Aight)=130	imes{$$10^6$$}N(A)=130×106﻿ yeast cells