Step-by-step explanation:
Divide 180 by 3 = 60
Divide 150 by 2 = 75
The faster vehicle is truck and its speed is 75 mph
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation,
, to find each corresponding y-value.
Thus:
✔️When x = 20:
![y = 0.065x](https://tex.z-dn.net/?f=%20y%20%3D%200.065x%20)
![y = 0.065(20)](https://tex.z-dn.net/?f=%20y%20%3D%200.065%2820%29%20)
![y = 1.3](https://tex.z-dn.net/?f=%20y%20%3D%201.3%20)
✔️When x = 40:
![y = 0.065x](https://tex.z-dn.net/?f=%20y%20%3D%200.065x%20)
![y = 0.065(40)](https://tex.z-dn.net/?f=%20y%20%3D%200.065%2840%29%20)
![y = 2.6](https://tex.z-dn.net/?f=%20y%20%3D%202.6%20)
✔️When x = 60:
![y = 0.065x](https://tex.z-dn.net/?f=%20y%20%3D%200.065x%20)
![y = 0.065(60)](https://tex.z-dn.net/?f=%20y%20%3D%200.065%2860%29%20)
![y = 3.9](https://tex.z-dn.net/?f=%20y%20%3D%203.9%20)
✔️When x = 80:
![y = 0.065x](https://tex.z-dn.net/?f=%20y%20%3D%200.065x%20)
![y = 0.065(80)](https://tex.z-dn.net/?f=%20y%20%3D%200.065%2880%29%20)
![y = 5.2](https://tex.z-dn.net/?f=%20y%20%3D%205.2%20)
✔️When x = 100:
![y = 0.065x](https://tex.z-dn.net/?f=%20y%20%3D%200.065x%20)
![y = 0.065(100)](https://tex.z-dn.net/?f=%20y%20%3D%200.065%28100%29%20)
![y = 6.5](https://tex.z-dn.net/?f=%20y%20%3D%206.5%20)
✔️<em>The graph of that represents this table of values is graph C. See attachment.</em>
Answer:
y=2/3×+6
Step-by-step explanation:
y-2=2/3(×+6)
y=2/3x4+2
y=2/3×+6
For this case we have the following data:
700 rabbits that represent 500% of the population of last year. So, to obtain the rabbit population of last year, we developed a rule of three:
700 -----------> 500%
x ---------------> 100%
Where x represents the rabbit population of last year.
Clearing x we have:
![x = \frac{ 100 * 700}{500}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%20100%20%2A%20700%7D%7B500%7D)
rabbits
In this way, last year there was a population of 140 rabbits.
Answer:
140 rabbits