Answer:
It can be calculate with the help of formula:
[tex]\frac{\text{Number of CFU}}{\text{Volume plated (ml) x total dilution used}} = \text{Number of CFU per mL}[/tex]
where, number of CFU is given as 98,
Volume plated = 0.1mL
Number of CFU per mL = [tex]5.8\text{ x }10^{8}\text{ cells per mL}[/tex]
Hence, [tex]\frac{98}{0.1 \text{ x total dilution used}} = 5.8 \text{ x } 10^8[/tex]
⇒total dilution used = [tex]\frac{98}{0.1 \text{ x }5.8\text{ x } 10^{8}}[/tex]
⇒total dilution used = [tex]\frac{98}{58}[/tex] x [tex]10^{-6}[/tex]
⇒total dilution used = [tex]1.69\text{ x }10^{-6}[/tex]