Easy
equation is
f(x)=2ˣ
where x=number of hours elapsed
after 6 hours
f(6)=2⁶=64 bacteria
to solve for 1024
1024=2ˣ
take ln of both sides
ln(1024)=ln(2ˣ)
ln(1024)=x(ln(2))
divide both sides by ln(2)
ln(1024)/ln(2)=x
using calculator
10=x
or you could recognize that
1024=2¹⁰
or keep divising 1024 by 2
10 hours for 1024 bacteria
To find slope intercept form first do rise over run
rise 4 run 3
then find where it crosses the x-intercept to get
y=4/3x-3
1/6 pound of chocolate for each person ( 1/2 / 3 ).
Answer: 731 days
Since 2018 is 2 years away from 2020, that is 730. Add 1 day, that is 731 days.
