I would say the answer is D b/c according to the graph there is a drastic difference in the percentage that children are more susceptible to experience side effects than adults.
Answer: a) Explicit formula :![f(x)=9(1.5)^{3x}](https://tex.z-dn.net/?f=f%28x%29%3D9%281.5%29%5E%7B3x%7D)
b) Recursive formula :
and ![f(x+1)=f(x)\times 1.5^3](https://tex.z-dn.net/?f=f%28x%2B1%29%3Df%28x%29%5Ctimes%201.5%5E3)
Step-by-step explanation:
Since we have given that
Number of grams of yeast in a culture dish initially = 9 grams
According to question, a certain culture of year increases by 50 % every three hours.
So, the explicit formula will be
![f(x)=9(1+\frac{50}{100})^{3x}\\\\f(x)=9(1+0.5)^{3x}\\\\f(x)=9(1.5)^{3x}](https://tex.z-dn.net/?f=f%28x%29%3D9%281%2B%5Cfrac%7B50%7D%7B100%7D%29%5E%7B3x%7D%5C%5C%5C%5Cf%28x%29%3D9%281%2B0.5%29%5E%7B3x%7D%5C%5C%5C%5Cf%28x%29%3D9%281.5%29%5E%7B3x%7D)
And the recursive formula will be
![f(x)=9(1.5)^{3x}\\\\f(x+1)=9(1.5)^{3(x+1)}\\\\f(x+1)=9(1.5)^{3x+3}\\\\f(x+1)=9(1.5)^{3x}.(1.5)^3\\\\f(x+1)=f(x)\times 1.5^3](https://tex.z-dn.net/?f=f%28x%29%3D9%281.5%29%5E%7B3x%7D%5C%5C%5C%5Cf%28x%2B1%29%3D9%281.5%29%5E%7B3%28x%2B1%29%7D%5C%5C%5C%5Cf%28x%2B1%29%3D9%281.5%29%5E%7B3x%2B3%7D%5C%5C%5C%5Cf%28x%2B1%29%3D9%281.5%29%5E%7B3x%7D.%281.5%29%5E3%5C%5C%5C%5Cf%28x%2B1%29%3Df%28x%29%5Ctimes%201.5%5E3)
Hence, a) Explicit formula : ![f(x)=9(1.5)^{3x}](https://tex.z-dn.net/?f=f%28x%29%3D9%281.5%29%5E%7B3x%7D)
b) Recursive formula :
and ![f(x+1)=f(x)\times 1.5^3](https://tex.z-dn.net/?f=f%28x%2B1%29%3Df%28x%29%5Ctimes%201.5%5E3)
25x - 6 = 24 + 5x
First we collect terms
20x = 30
Now we divide by 20
x = 30/20
x = 1.5
Perpendicular lines<span> are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.</span>
<span> </span>
Answer:
7 hours
Step-by-step explanation:
1/14 * 14 = 1 whole lawn
1/2 hours = 30 minutes
14 * 30 = 420 minutes to water entire lawn
420 minutes = 7 hours