Answer:
OPTION C: The ratio is a constant.
OPTION E: The ratio is equal to b.
Step-by-step explanation:
Given: ![$ f(x) = a.b^x $](https://tex.z-dn.net/?f=%24%20f%28x%29%20%3D%20a.b%5Ex%20%24)
The ratio of f(x + 1) and f(x) = ![$ \frac{f(x + 1)}{f(x)} = \frac{a.b^{x + 1}}{a.b^x} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Bf%28x%20%2B%201%29%7D%7Bf%28x%29%7D%20%3D%20%5Cfrac%7Ba.b%5E%7Bx%20%2B%201%7D%7D%7Ba.b%5Ex%7D%20%24)
Since, ![$ a^{x + 1} = a^x. a $](https://tex.z-dn.net/?f=%24%20a%5E%7Bx%20%2B%201%7D%20%3D%20a%5Ex.%20a%20%24)
![$ \implies \frac{f(x + 1)}{f(x)} = \frac{a.b^x.b}{a.b^x} $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20%5Cfrac%7Bf%28x%20%2B%201%29%7D%7Bf%28x%29%7D%20%3D%20%5Cfrac%7Ba.b%5Ex.b%7D%7Ba.b%5Ex%7D%20%24)
Cancelling out
we get:
![$ \frac{f(x + 1)}{f(x)} = b $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Bf%28x%20%2B%201%29%7D%7Bf%28x%29%7D%20%3D%20b%20%24)
This shows that the ratio is always a constant and that constant is equal to b.
Answer:
7
Step-by-step explanation:
6t-3t=13plus8
3t=21
t=21/3
t=7
hope it helps
6th graders make $9 per car. $9 times 50 cars
5th graders make $8.50 per car. $8.50 times cars
6th graders earn $450 after washing 50 cars.
5th graders earn $425 after washing 50 cars
$450-$425=$25
The 6th graders make $25 more than the 5th graders.
Answer:
4860mg
Step-by-step explanation:
2.16g/ml * 2.25ml = 4.86g
1g = 1000mg
4.86 * 1000 = 4860mg