Step-by-step explanation:
the rate of change is officially
(f(x2) - f(x1)) / (x2 - x1)
but for a line function (as we have here) this is totally easy : it is the slope of the line.
and that means it is the factor of x.
in our case this is -3/2.
because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.
Answer:
3/4
Step-by-step explanation:
It is.................x+y=5
Answer:
The image is blurry for me
Step-by-step explanation:
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that
![x+y=135](https://tex.z-dn.net/?f=x%2By%3D135)
Solving for y
![y=135-x](https://tex.z-dn.net/?f=y%3D135-x)
The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as
![\displaystyle \frac{x}{y}=\frac{8}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B8%7D%7B7%7D)
Or equivalently
![7x=8y](https://tex.z-dn.net/?f=7x%3D8y)
Replacing y from the first equation
![7x=8(135-x)](https://tex.z-dn.net/?f=7x%3D8%28135-x%29)
Operating
![7x=1080-8x](https://tex.z-dn.net/?f=7x%3D1080-8x)
Simplifying
![15x=1080](https://tex.z-dn.net/?f=15x%3D1080)
![\boxed{x=72}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D72%7D)
Riley has 72 tokens