Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
![x \ge 0](https://tex.z-dn.net/?f=x%20%5Cge%200)
which is the same as saying
![0 \le x](https://tex.z-dn.net/?f=0%20%5Cle%20x)
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
![x \le 1200](https://tex.z-dn.net/?f=x%20%5Cle%201200)
indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get
![0 \le x \le 1200](https://tex.z-dn.net/?f=0%20%5Cle%20x%20%5Cle%201200)
Note: if you haven't learned about compound inequalities yet, then the teacher may only want
![x \le 1200](https://tex.z-dn.net/?f=x%20%5Cle%201200)
as the answer.
Answer:
Rate of change = 0.5
Initial value = 120
Step-by-step explanation:
(10 , 125) ; (30 , 135)
Slope = ![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![= \frac{135-125}{30-10}\\\\= \frac{10}{20}\\\\= \frac{1}{2}\\= 0.5](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B135-125%7D%7B30-10%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B10%7D%7B20%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%3D%200.5)
Rate of change = 0.5
Initial value = 120
Y=3x+10
10 represents the fee
X= amount of hours
3 is the cost per hour.
The formula for surface area is SA = 2 (wl + hl + hw). Plugging in the numbers that we know, we get SA = 2 (100 + 10h +10h). We know that the crust accounts for half of the surface area.
The surface area was not provided so this is the closest I can go without the provided surface area. I hope this helps you :)
Speed = 416 miles / 8hrs = 52 miles per hr.
Distance = Speed * Time = 52 * 22 = 1144miles