Question

In a lab, 700 cells are present at the beginning of an experiment. During the first 7 hours,

the number of cells increased by 12% each hour.
Estimate the time when the number of cells is 1735.
Round answer to nearest whole hour.

Answer 1

Explanation:

This is an exponential equation of the form, A=ar^t, where a is the initial amount and r is the common ratio or rate of growth and t is time. In this case.

A=700(1.12)^t and we want to find when A=1735

1735=700(1.12)^t

1735/700=1.12^t

ln(1735/700)=t(ln(1.12))

t=(ln(1735/700))/(ln(1.12))

t=8 hours

Answer 2

2 hours

Explanation:

1=700

x=1735

1735=700x

1735/700

x=2.47