Answer:
1. B. a=14, b=2
2. D. a=1, b=1.4
Step-by-step explanation:
The exponential growth function can be represented as
![y=a\cdot b^x,](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex%2C)
where b is the growth factor.
1. When the function has equation
![g(x)=14\cdot 2^x,](https://tex.z-dn.net/?f=g%28x%29%3D14%5Ccdot%202%5Ex%2C)
then
![a=14,\\ \\b=2](https://tex.z-dn.net/?f=a%3D14%2C%5C%5C%20%5C%5Cb%3D2)
The initial amount is the value of the function at x=0:
![g(0)=14\cdot 2^0=14\cdot 1=14](https://tex.z-dn.net/?f=g%280%29%3D14%5Ccdot%202%5E0%3D14%5Ccdot%201%3D14)
The growth factor is b=2
2. When the function has equation
![f(t)=1.4^t,](https://tex.z-dn.net/?f=f%28t%29%3D1.4%5Et%2C)
then
![a=1,\\ \\b=1.4](https://tex.z-dn.net/?f=a%3D1%2C%5C%5C%20%5C%5Cb%3D1.4)
The initial amount is the value of the function at t=0:
![f(0)=1.4^0=1](https://tex.z-dn.net/?f=f%280%29%3D1.4%5E0%3D1)
The growth factor is b=1.4
1. By the information given in the problem above, you have:
- Bottom section=x
- <span>The top section is one-sixth the length of the bottom section.
Top section=x/6
- The middle section is one-half the length of the bottom section.
Middle section=x/2
- The total length of the rocket is 240 ft.
Bottom section+Top section+Middle section=240
x+x/6+x/2=240
2. Then, you have the the bottom section is:
x=144
3. Therefore, the top section is:
Top section=x/6
T</span>op section=144/6
Top section=24 ft
<span>
The answer is: 24 ft</span>
Divide the fathers height by the percentage:
180/ 1.2 = 150
Allister is 150 cm tall
0.05 * 0.75
5*75 = 375
since we're multiplying decimals, the rule of thumb is use as many zeros to the right of the decimal as there are summed between the two values being multiplied . . .
0.<u><em>0</em></u>5*0.75
<u><em>answer is 0.0375</em></u>