It is simplified as much as it can go.
Answer:
you have to have the table to fill it in. each number on the table with be placed into x. for example: x=1 y=-4(1)+3 y=-1
(1,-1) on the table.
Step-by-step explanation:
Slope intercept form is y=mx+b
first plug in m
y=-1/2X + b
now plug in the point (8,1) for the x and the y
1=-1/2(8) + b
now you need to solve for b
simplify
1=-4+ b
add 4
5=b
now that you know b
you can plug it into the equation along with the m
so the answer is
y=-1/2X + 5
Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
Thus, it will takes 61.40 minutes for the number of cells in the petri dish to reach 2000.
