Answer:
1. 50 = 5x+15
2. 50 = 3x+20
3. 7
4. 10
5. Skating Rink
Step-by-step explanation:
1. As the maximum amount of money is 50 dollars, you are given that there is a 5 dollar entry *per* person, alongside the 15 room rental fee added on. That is where the equation 5x+15 = 50 comes from
2. The same can be said with the skating rink, with different numbers. 3 *per* person plus the extra 20 room rental fee.
3. 50 = 5x+15 can be solved by subtracting 15 by both sides. This gives us 35=5x and dividing by 5 will give us 7 = x
4. 50 = 3x+20 can be solved by subtracting 20 by both sides. This gives us 30=3x and dividing by 3 will give us 10 = x
5. As 10>7, it's apparent that you can bring more people to the Skating Rink
Answer:
A. 1
B. -10
Step-by-step explanation:
The volume is V=LxWxH. The length x Width is just the area, A, of the bottom (also of the top) So you could also write V=AxH, that is volume is
area x height. Since we know V equals 972 and A equals 81 we can solve for H:
V=AxH
972=81H
972/81=H
H=12cm
This is a linear relationship as the rate of change is constant, ie constant velocity. And the slope represents the velocity, and slope is:
m=(y2-y1)/(x2-x1)
m=(50-25)/(2-1)=25/1
m=25
So the rate of change is 25 mph
