Answer:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Step-by-step explanation:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
Answer:
![3,462\ bacteria](https://tex.z-dn.net/?f=3%2C462%5C%20bacteria)
Step-by-step explanation:
In this problem we have a exponential function of the form
![y=a(b^x)](https://tex.z-dn.net/?f=y%3Da%28b%5Ex%29)
where
x is the time in hours
y is the numbers of bacteria
a is the initial value
b is the base
r is the rate of growth
b=(1+r)
we have that
![a=3,000\ bacteria](https://tex.z-dn.net/?f=a%3D3%2C000%5C%20bacteria)
For x=8, y=3,300
substitute in the exponential function
![3,300=3,000(b^8)](https://tex.z-dn.net/?f=3%2C300%3D3%2C000%28b%5E8%29)
solve for b
![1.1=(b^8)](https://tex.z-dn.net/?f=1.1%3D%28b%5E8%29)
![b=\sqrt[8]{1.1}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B8%5D%7B1.1%7D)
![b=1.0120](https://tex.z-dn.net/?f=b%3D1.0120)
Find the value of r
![r=b-1=1.0120-1=0.0120=1.20\%](https://tex.z-dn.net/?f=r%3Db-1%3D1.0120-1%3D0.0120%3D1.20%5C%25)
The equation is equal to
![y=3,000(1.012^x)](https://tex.z-dn.net/?f=y%3D3%2C000%281.012%5Ex%29)
For x=12 hours
substitute the value of x in the equation
![y=3,000(1.012^{12})](https://tex.z-dn.net/?f=y%3D3%2C000%281.012%5E%7B12%7D%29)
![y=3,462\ bacteria](https://tex.z-dn.net/?f=y%3D3%2C462%5C%20bacteria)
Answer:
The missing number of the unit rate is 4
Step-by-step explanation:
20 divided by 5 is 4, which is the same thing as
, so the missing number of the unit rate is 4.
Answer: 132 hours
Step-by-step explanation: First you subtract out the bonus for the month: $2501-$125= 2376 Then divide the $2376 by $18/hour = 132