Answer:
Here is the complete question (attachment).
The function which represent the given points are ![f(x)=8(2)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D8%282%29%5E%7Bx%7D)
Step-by-step explanation:
We know that a general exponential function is like,
We can find the answer by hit and trial method by plugging the values of
coordinates.
Here we are going to solve this with the above general formula.
So as the points are
then for ![x=1,\ y=16](https://tex.z-dn.net/?f=x%3D1%2C%5C%20y%3D16)
Can be arranged in terms of the general equation.
...equation(1) and
...equation(2)
![a\times b=16, then\ a=\frac{16}{a}](https://tex.z-dn.net/?f=a%5Ctimes%20b%3D16%2C%20then%5C%20a%3D%5Cfrac%7B16%7D%7Ba%7D)
Plugging the values in equation 2.
We have
![\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bb%7D%20b%5E4%3D128%2C16%5Ctimes%20b%5E3%3D128%2Cb%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%7D%7B16%7D%7D%20%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Plugging
in equation 1.
We have ![a=\frac{16}{b} =\frac{16}{2} =8](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B16%7D%7Bb%7D%20%3D%5Cfrac%7B16%7D%7B2%7D%20%3D8)
Comparing with the general equation of exponential
and ![b=2](https://tex.z-dn.net/?f=b%3D2)
So the function which depicts the above points =![y=8(2)^x](https://tex.z-dn.net/?f=y%3D8%282%29%5Ex)
From theoption we have B as the correct answer.
Answer:
yep
Step-by-step explanation:
Answer:
42 / 7 = 6
Step-by-step explanation:
There are 6 rows in the class room.
Answer:
66
Step-by-step explanation:
Answer:
$35
Step-by-step explanation:
To solve this problem you need to know how what and how is percentage work.
Percentage(%) is a unit that equals to 1/100 or one hundredths. So, 7% will be equal to 7*1/100= 7/100. The commission is given based on the price of the boat. If the boat sold at $500 the commission will be:
commission= percentage * boat price
commission= 7/100 * $500
commission= $35