Answer: 110 in the presence of no antibiotic, 53 in the presence of an antibiotic
Step-by-step explanation:
So first we are told the growth rate of a bacteria culture is 15% and the number of bacteria in the culture is 24
So we find 15% of 24
15/100 x 24 = 18/5
So 18/5 bacteria is produced every hour, then for 24hours
18/5 x 24 = 86.4
The number of bacteria is already 24 as said
So altogether
86.4 + 24 = 110.4 approximately 110
Then, for the presence of antibiotic, the growth rate is 5%
So 5% of 24
5/100 x 24 = 6/5
So 6/5 bacteria is produced every hour
For 24hours
6/5 x 24 = 28.8
Initial culture = 24
Final culture = 24 + 38.8 = 52.8 approximately 53
If you multiply out the answers, which is easier, then you can find the correct answer.
The factors need to multiply together to create the original problem, so it's just a matter of plug and chug.
The answer is B.
A) Find the inverse of the function
s=0.04n+2500
s-2500=0.04n+2500-2500
s-2500=0.04n
s/0.04-2500/0.04=0.04n/0.04
25s-62,500=n
n=25s-62,500
Answer: The inverse of the function is n=25s-62,500
Is <span>the inverse a function?
Yes, the inverse is a function, a linear function.
</span>b) Use the inverse to find the same amount of merchandise sold if the employees salary was $2820 last month.
s=2,820→n=25(2,820)-62,500
n=70,500-62,500
n=8,000
Answer: The amount of merchandise sold was $8,000
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D