A.) P(t) = P0exp(kt)
P(20/60) = 40 exp(20k/60)
80 = 40 exp(k/3)
exp(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = exp(8k) = exp(8(3ln(2)) = exp(24ln(2)) = exp(16.6355) = 16777216 cells / hour
e.) P(t) = 40(2)^3t; t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Uhm i don't understand ;(!!
Answer:
see below
Step-by-step explanation:
slope intercept form: y=mx+b
you are given the slope, and can plug the points in to find b.
a) -3=2/3(6)+b --> b=-7
y=2/3x+7
b)10=-8(1/2)+b --> b=14
y=1/2x+13
c)4=-3(2)+b --> b=10
y=-3x+10
3(6-8)^2 +8÷2
3(-2)^2 +8÷2
3(4)+8÷2
12+8÷2
12+4
16
Hope this helps :)
Answer: it is c which is the function was stretched by all the factor of 2
hope this help
