In 7th grade:
red-hair students =58
another color hair students =609
In 8th grade:
red-hair students =60
Let's assume
another color hair students =x
now, we are given
The numbers of red-haired students in 8th grade are proportional to the numbers in 7th
so,
![\frac{60}{58} =\frac{x}{609}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B58%7D%20%3D%5Cfrac%7Bx%7D%7B609%7D)
now, we can solve for x
we get
![x=609*\frac{60}{58}](https://tex.z-dn.net/?f=x%3D609%2A%5Cfrac%7B60%7D%7B58%7D%20)
we get
![x=630](https://tex.z-dn.net/?f=x%3D630%20)
so, students have another color hair in 8th grade is 630.........Answer
2 pages per minutes; 180 divided by 90 equals 2
Answer:
![y = \frac{19}{8}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B19%7D%7B8%7Dx)
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Where:
![(x_1.y_1) = (0,0)](https://tex.z-dn.net/?f=%28x_1.y_1%29%20%3D%20%280%2C0%29)
![(x_2.y_2) = (7,15)](https://tex.z-dn.net/?f=%28x_2.y_2%29%20%3D%20%287%2C15%29)
So:
![m = \frac{15 - 0}{7 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B15%20-%200%7D%7B7%20-%200%7D)
![m = \frac{15}{7}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B15%7D%7B7%7D)
![m = 2.143](https://tex.z-dn.net/?f=m%20%3D%202.143)
For the given options.
The unit rate is the coefficient of x
So: ![y = \frac{19}{8}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B19%7D%7B8%7Dx)
Going by the above definition of unit rate.
![m = \frac{19}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B19%7D%7B8%7D)
![m = 2.375](https://tex.z-dn.net/?f=m%20%3D%202.375)
![y = \frac{27}{13}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B27%7D%7B13%7Dx)
![m = \frac{27}{13}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B27%7D%7B13%7D)
![m = 2.077](https://tex.z-dn.net/?f=m%20%3D%202.077)
![y = \frac{21}{9}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B21%7D%7B9%7Dx)
![m = \frac{21}{9}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B21%7D%7B9%7D)
![m = 2.333](https://tex.z-dn.net/?f=m%20%3D%202.333)
![y= \frac{11}{5}x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B11%7D%7B5%7Dx)
![m= \frac{11}{5}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B11%7D%7B5%7D)
![m= 2.20](https://tex.z-dn.net/?f=m%3D%202.20)
![y = \frac{15}{7}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B15%7D%7B7%7Dx)
![m = \frac{15}{7}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B15%7D%7B7%7D)
![m = 2.143](https://tex.z-dn.net/?f=m%20%3D%202.143)
![y = \frac{31}{15}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B31%7D%7B15%7Dx)
![m = \frac{31}{15}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B31%7D%7B15%7D)
![y = 2.067](https://tex.z-dn.net/?f=y%20%3D%202.067)
![y=\frac{13}{6}x](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B13%7D%7B6%7Dx)
![m=\frac{13}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B13%7D%7B6%7D)
![m=2.167](https://tex.z-dn.net/?f=m%3D2.167)
The unit rates grater than the graph's from small to large are:
![y = \frac{19}{8}x](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B19%7D%7B8%7Dx)
![m = \frac{19}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B19%7D%7B8%7D)
Answer:
Tamu burnt 5.66 calories per minute.
Step-by-step explanation:
Tamu ran for 30 minutes.
Calories burnt by Tamu = 170 calories
Unit rate = ![\frac{Calories\ burnt}{Time}](https://tex.z-dn.net/?f=%5Cfrac%7BCalories%5C%20burnt%7D%7BTime%7D)
Unit rate = ![\frac{170}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B170%7D%7B30%7D)
Unit rate = 5.66 calories per minute
Therefore,
Tamu burnt 5.66 calories per minute.