Answer:
Step-by-step explanation:
12/4=3 and 16/8=2
Answer:
There are 60 total questions on the course exam.
Step-by-step explanation:
Given that:
Number of questions finished by Jasmine = 12
Percentage shown on the bar = 20%
The total number of questions will be 100%, therefore, 20% of the questions are equal to 12.
Let,
x be the total number of questions on the course exam
20% of x = 12
![\frac{20}{100}x=12\\0.2x=12](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B100%7Dx%3D12%5C%5C0.2x%3D12)
Dividing both sides by 0.2
![\frac{0.2x}{0.2}=\frac{12}{0.2}\\x=60](https://tex.z-dn.net/?f=%5Cfrac%7B0.2x%7D%7B0.2%7D%3D%5Cfrac%7B12%7D%7B0.2%7D%5C%5Cx%3D60)
Hence,
There are 60 total questions on the course exam.
ANSWER
The rule is given by the relation,
![y = 2x + 1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%201)
EXPLANATION
We need to check and see if there is a constant difference between the y-values.
![1 - - 1 = 2 = 3 - 1](https://tex.z-dn.net/?f=1%20-%20%20-%201%20%3D%202%20%3D%203%20-%201)
We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
Then the points in the table should satisfy the above rule.
So let us plug in
![(0,1)](https://tex.z-dn.net/?f=%280%2C1%29)
This implies that,
![1 =m (0) + c](https://tex.z-dn.net/?f=1%20%3Dm%20%280%29%20%2B%20c)
![1 = 0 + c](https://tex.z-dn.net/?f=1%20%3D%200%20%2B%20c)
![c = 1](https://tex.z-dn.net/?f=c%20%3D%201)
Our rule now becomes,
![y = mx + 1 - - (1)](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%201%20-%20%20-%20%281%29)
We again plug in another point say, (-1,-1) in to equation (1) to get,
![- 1 = m( - 1) + 1](https://tex.z-dn.net/?f=%20-%201%20%3D%20m%28%20-%201%29%20%20%20%2B%201)
we solve for m now to obtain,
![- m=-1-1](https://tex.z-dn.net/?f=%20-%20m%3D-1-1)
![- m = - 2](https://tex.z-dn.net/?f=%20-%20m%20%3D%20%20-%202)
![m = 2](https://tex.z-dn.net/?f=m%20%3D%202)
We now substitute back in to equation (1) to get
The answer is 4%
1) work out 1%
6500/100 = 65
2)work out how many times 65 goes into 260
260/65= 4