All you have to do is try out both of the equations with each of the different choices.
200 = 45 (3) + 20
200 = 135 + 20
200 = 155
200 = 35 (3) + 60
200 = 105 + 60
200 = 165
So, this one does not work.
--------------------------------------------
180 = 45 (3) + 20
180 = 135 + 20
180 = 155
180 = 35 (3) + 60
180 = 105 + 60
180 = 165
So, this one does not work.
----------------------------------------------
200 = 45 (4) + 20
200 = 180 + 20
200 = 200
200 = 35 (4) + 60
200 = 140 + 60
200 = 200
So this one works.
The answer would be C.
I hope this helps and I'm sorry it took so long!
Answer:
B
Step-by-step explanation:
There are no repeating values for x, for different values plugged in for y.
150 degrees
hope this helps
Answer:
7/15 Hope it helps
Step-by-step explanation:
Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;
![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
Where x represents the number of days and y the number of fishes
Because the fishes decreases;
![b = 1 - r](https://tex.z-dn.net/?f=b%20%3D%201%20-%20r)
So, we have:
![b = 1 - 8\%](https://tex.z-dn.net/?f=b%20%3D%201%20-%208%5C%25)
Express as decimal
![b = 1 - 0.08](https://tex.z-dn.net/?f=b%20%3D%201%20-%200.08)
![b = 0.92](https://tex.z-dn.net/?f=b%20%3D%200.92)
In ![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
![a =150](https://tex.z-dn.net/?f=a%20%3D150)
![y = 30](https://tex.z-dn.net/?f=y%20%3D%2030)
![b = 0.92](https://tex.z-dn.net/?f=b%20%3D%200.92)
So, we have:
![30 = 150 * 0.92^x](https://tex.z-dn.net/?f=30%20%3D%20150%20%2A%200.92%5Ex)
Divide both sides by 150
![0.2 = 0.92^x](https://tex.z-dn.net/?f=0.2%20%3D%200.92%5Ex)
Take log of both sides
![log(0.2) = log(0.92^x)](https://tex.z-dn.net/?f=log%280.2%29%20%3D%20log%280.92%5Ex%29)
Apply law of logarithm
![log(0.2) = x\ log(0.92)](https://tex.z-dn.net/?f=log%280.2%29%20%3D%20x%5C%20log%280.92%29)
Make x the subject
![x = \frac{log(0.2)}{log(0.92)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7Blog%280.2%29%7D%7Blog%280.92%29%7D)
![x = \frac{-0.6990}{-0.0362}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-0.6990%7D%7B-0.0362%7D)
![x = 19.309](https://tex.z-dn.net/?f=x%20%3D%2019.309)
![x \approx 19](https://tex.z-dn.net/?f=x%20%5Capprox%2019)
<em>Hence, it takes approximately 19 days</em>