Answer:
5. 200/1 = 200 ft/min
6. 600/3 = 200 ft/min
Step-by-step explanation:
5. The rate of change of a graph is the ratio of vertical change to horizontal change. You are asked to find the rate of change from 1 minute to 2 minutes, so you want to find the distance (ft) at 2 minutes and at 1 minute.
Reading the graph, you see that at 2 minutes, the distance is 400 ft. At 1 minute, it is 200 ft.
So, the ratio of the two differences is ...
change in distance / change in time
![=\dfrac{400-200}{2-1}=\dfrac{200}{1}=200\quad\text{ft per min}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B400-200%7D%7B2-1%7D%3D%5Cdfrac%7B200%7D%7B1%7D%3D200%5Cquad%5Ctext%7Bft%20per%20min%7D)
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6. Using the same idea, we want to use the graph values at 4 minutes and 1 minute.
![\dfrac{\text{$\Delta$distance}}{\text{$\Delta$time}}=\dfrac{800-200}{4-1}=\dfrac{600}{3}=200\quad\text{ft per min}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7B%24%5CDelta%24distance%7D%7D%7B%5Ctext%7B%24%5CDelta%24time%7D%7D%3D%5Cdfrac%7B800-200%7D%7B4-1%7D%3D%5Cdfrac%7B600%7D%7B3%7D%3D200%5Cquad%5Ctext%7Bft%20per%20min%7D)
Answer:
52%.
Step-by-step explanation:
There are a total of 50 squares in the shape, and only 26 squares of the shape are shaded. That makes 52% or 0.52.
I agree with the author. By using the metric system we know the exact amount of a medicine we took, whether it's in mg or mL. This way every doctor can prescribe the same amount.
If we were using some other units this may not be the case. For example, british and american inch were different until 1950's.
Example: if you go to a surgery and a doctor needs to cut "1 inch from the left part" it may cause a mistake as this unit is different in different countries. But if he needs to cut "2.5 cm from the left part" he knows exactly where to cut.
Another benefit of using metric system is that it is being used in almost every country in the world.
Answer:
(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)
Step-by-step explanation:
plug in each x value into the equation
take -7 for example
when -7 is x, we plug it into the equation
![y=x-6](https://tex.z-dn.net/?f=y%3Dx-6)
![y=-13](https://tex.z-dn.net/?f=y%3D-13)
you would do this same process for the rest of the x values.
Answer:
7 solutions
Step-by-step explanation: