Answer:
The correct answer with step-by-step explanation:
So, here we have an exponential function.
Remember that an exponential function has the form:
![y=a(b)^x=a(1\pm\frac{r}{100})^x](https://tex.z-dn.net/?f=y%3Da%28b%29%5Ex%3Da%281%5Cpm%5Cfrac%7Br%7D%7B100%7D%29%5Ex)
Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).
So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that
![\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%3D40%20%5C%5C%20b%3D1%2B%5Cfrac%7B13%7D%7B100%7D%3D1.13%20%5Cend%7Bgathered%7D)
So,
![f(x)=40(1.13)^x](https://tex.z-dn.net/?f=f%28x%29%3D40%281.13%29%5Ex)
For city B:
![\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%3D40%20%5C%5C%20b%3D1%2B%5Cfrac%7B16%7D%7B100%7D%3D1.16%20%5C%5C%20g%28x%29%3D40%281.16%29%5Ex%20%5Cend%7Bgathered%7D)
But something different happens with city C. This is not an exponential function, this is a linear function.
So,
![h(x)=40+10x](https://tex.z-dn.net/?f=h%28x%29%3D40%2B10x)
Answers:
Slope = 3/4
y intercept = -1/2
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Explanation:
The form y = mx+b is known as slope intercept form
m is the slope and b is the y intercept
Comparing y = (3/4)x - 1/2 to y = mx+b, we see that
m = 3/4
b = -1/2
The number is 28.
The equation would be:
237 + 6(x) = 405
The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.
237 + 6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28
To check:
237 + 6 (28) = 405
237 + 168 = 405
405 = 405
I believe it should be 22½ or 22 books
You would need to divide 18 and ⅘
18 ÷ ⅘ = 22½
I hope this helps, even though I’m not totally sure :)