The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
Answer:
![D =\frac{P}{\pi X^2}](https://tex.z-dn.net/?f=%20D%20%3D%5Cfrac%7BP%7D%7B%5Cpi%20X%5E2%7D)
And solving for the radius we got:
![X = \sqrt{\frac{P}{\pi D}}](https://tex.z-dn.net/?f=%20X%20%3D%20%5Csqrt%7B%5Cfrac%7BP%7D%7B%5Cpi%20D%7D%7D)
And replacing the data given we got:
![X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km](https://tex.z-dn.net/?f=%20X%20%3D%20%5Csqrt%7B%5Cfrac%7B480%20%5Cfrac%7Bpeople%7D%7Bkm%5E2%7D%7D%7B%5Cpi%20%2A20000%20people%7D%7D%3D%200.0874Km)
And this value converted to meters is ![X = 87.40 m](https://tex.z-dn.net/?f=X%20%3D%2087.40%20m)
Step-by-step explanation:
For this case we know the population size
and we also know the population density ![D = 480 \frac{people}{km^2}](https://tex.z-dn.net/?f=%20D%20%3D%20480%20%5Cfrac%7Bpeople%7D%7Bkm%5E2%7D)
We can assume that the area is a circle. We also know that the formula for the population density is given by:
![D= \frac{P}{A}](https://tex.z-dn.net/?f=%20D%3D%20%5Cfrac%7BP%7D%7BA%7D)
Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:
![A = \pi X^2](https://tex.z-dn.net/?f=%20A%20%3D%20%5Cpi%20X%5E2)
With X the radius of the circle
And then the populationd density become:
![D =\frac{P}{\pi X^2}](https://tex.z-dn.net/?f=%20D%20%3D%5Cfrac%7BP%7D%7B%5Cpi%20X%5E2%7D)
And solving for the radius we got:
![X = \sqrt{\frac{P}{\pi D}}](https://tex.z-dn.net/?f=%20X%20%3D%20%5Csqrt%7B%5Cfrac%7BP%7D%7B%5Cpi%20D%7D%7D)
And replacing the data given we got:
![X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km](https://tex.z-dn.net/?f=%20X%20%3D%20%5Csqrt%7B%5Cfrac%7B480%20%5Cfrac%7Bpeople%7D%7Bkm%5E2%7D%7D%7B%5Cpi%20%2A20000%20people%7D%7D%3D%200.0874Km)
And this value converted to meters is ![X = 87.40 m](https://tex.z-dn.net/?f=X%20%3D%2087.40%20m)
Answer:
3 meters per second
Step-by-step explanation:
15 divided by 5 = 3
3 m/s