Answer :
Answer:
[tex]\begin{gathered} y=252*1.57^x \\ y=5925\text{ cells} \end{gathered}[/tex]Step-by-step explanation:
The exponential function is represented by the following equation:
[tex]y=ab^x[/tex]where a is the initial amount and b is the change factor per unit time, therefore if it creases by 57% per day and the initial amount was 252 cells:
[tex]y=252*1.57^x[/tex]To determine the population after 7 days, substitute x=7:
[tex]\begin{gathered} y=252*1.57^7 \\ y=5925\text{ cells} \end{gathered}[/tex]