Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are
![\dfrac{35}{7}=5](https://tex.z-dn.net/?f=%5Cdfrac%7B35%7D%7B7%7D%3D5)
![\dfrac{70}{14}=5](https://tex.z-dn.net/?f=%5Cdfrac%7B70%7D%7B14%7D%3D5)
![\dfrac{105}{21}=5](https://tex.z-dn.net/?f=%5Cdfrac%7B105%7D%7B21%7D%3D5)
![\dfrac{140}{28}=5](https://tex.z-dn.net/?f=%5Cdfrac%7B140%7D%7B28%7D%3D5)
All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then
![\dfrac{y}{x}=k](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D%3Dk)
Here, k=5.
![\dfrac{y}{x}=5](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D%3D5)
![y=5x](https://tex.z-dn.net/?f=y%3D5x)
Hence the rate of change is constant that is 5.
#1 is "given"; #2 is angle 3 is congruent to angle 4; #3 is angle 1 is congruent to angle 2; #4 is RF is conguent to RF; #5 is ASA congruency; #6 is CPCTC
Answer:
From left to right:
Y-intercept: 160
Slope:-40
Y-intercept: 6
Slope: 1/3
Y-intercept: 600
Slope: 50
Y-intercept: -2
Slope: 3
Step-by-step explanation:
From left to right:
Y-intercept: 160
Slope:-40
Y-intercept: 6
Slope: 1/3
Y-intercept: 600
Slope: 50
Y-intercept: -2
Slope: 3
Answer:
£396
Step-by-step explanation:
33 x 12= 396
12 months in a year
33 per month
Let the variable of the equation be x.
I'm gonna go backwards of the factorization process.
Given,
x = 11 or 3
(x - 11)(x - 3) = 0
x² -3x -11x + 33 = 0
x² -14x + 33 = 0
Hence, f(x) = x² - 14x + 33.