Answer:
See below.
Step-by-step explanation:
1/2 = shrink by a factor of 1/2.
+7 = moved up 7 units.
Answer:
If it is at -8, -8 then p is at 0,0
Step-by-step explanation:
Sorry, there is not much information given to answer.
the answer is A. m=7t You get your answer by dividing 7 into m
m=10.5 miles 10.5 divided by 7 equals 1.5 time is 1.5 hours
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)