Answer:
only A is correct
Step-by-step explanation:
To get the equation of the given line, we just have to see if the point given fits into any of the equation
The given point is (15,3)
a) y = 1/5x = 1/5 * 15 = 3
This is correct
b) y = -5(-75) = -375; this is not correct
c) y = 3x
y = 3(15) = 45
This is not correct
d) y = 15x
y = 15(15) = 225
This is incorrect
e) y = -1/5x
y = -1/5 * 15 = -3
This is incorrect
f) y = 5x
y = 5(15) = 75
This is also incorrect
You have to multiply .1 by 10 to equal 1 so it is 10 × greater.
<h3>
Answer: 8</h3>
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Work Shown:
![y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\](https://tex.z-dn.net/?f=y%20%3D%20192%5Cleft%284%5E%7Bx-3%7D%5Cright%29%5C%5C%5C%5C196%2C608%20%3D%20192%5Cleft%284%5E%7Bx-3%7D%5Cright%29%5C%5C%5C%5C%5Cfrac%7B196%2C608%7D%7B192%7D%20%3D%204%5E%7Bx-3%7D%5C%5C%5C%5C1024%20%3D%204%5E%7Bx-3%7D%5C%5C%5C%5C4%5E%7Bx-3%7D%20%3D%201024%5C%5C%5C%5C%5Clog%5Cleft%284%5E%7Bx-3%7D%5Cright%29%3D%5Clog%5Cleft%281024%5Cright%29%5C%5C%5C%5C%28x-3%29%2A%5Clog%5Cleft%284%5Cright%29%3D%5Clog%5Cleft%281024%5Cright%29%5C%5C%5C%5Cx-3%3D%5Cfrac%7B%5Clog%5Cleft%281024%5Cright%29%7D%7B%5Clog%5Cleft%284%5Cright%29%7D%5C%5C%5C%5Cx-3%3D5%5C%5C%5C%5Cx%3D5%2B3%5C%5C%5C%5Cx%3D8%5C%5C%5C%5C)
It will take 8 hours for the population to reach 196,608 bacteria.
Tammy has sold 40 boxes so far
So go buy one from her.