Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I will solve using the following assumptions.
Job A:
![y = 2x + 5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%205)
Job B
![\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccc%7Dx%20%26%20%7B1%7D%20%26%20%7B2%7D%20%26%20%7B3%7D%20%26%20%7B4%7D%20%26%20%7B5%7D%20%5C%20%5C%5C%20y%20%26%20%7B6%7D%20%26%20%7B10%7D%20%26%20%7B14%7D%20%26%20%7B18%7D%20%26%20%7B22%7D%20%5C%20%5Cend%7Barray%7D)
The first step is to calculate the rate of Job B using:
![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) = (1,6)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C6%29)
![(x_2,y_2) = (2,10)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%282%2C10%29)
So, we have:
![m = \frac{10 - 6}{2 - 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B10%20-%206%7D%7B2%20-%201%7D)
![m = \frac{4}{1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B1%7D)
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
So, the hourly rate of job B is $4/hr
For Job A:
![y = 2x + 5](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%205)
A linear equation has the form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where m is the rate
By comparison:
![m = 2](https://tex.z-dn.net/?f=m%20%3D%202)
So, the hourly rate of Job A is $2/hr
Comparing both rates, we can draw the following conclusions;
- <em>The hourly rate of Job A is greater than the hourly rate of Job B</em>
- <em>The hourly rate of Job A is twice the hourly rate of Job B.</em>
B. No Histogram.
Part C:
Mean: 171.1
Median: 167.5
Mode: 164
Range: 51
Part D:
Minimum: 146
First Quartile: 164
Third Quartile: 186
Maximum: 197
E. No Box and Whisker Plot
Part F:
40th Percentile: 164.4
Answer:
To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )
y1 = 2x + 4
y2 = 3x-9
y1 = y2
2x + 4 = 3x - 9
4 = x - 9
x = 13
--> Plug x back into an equation for y coordinate. I will be using y1.
2(13) + 4
26 + 4 = 30
y = 30
The point of intersection is (13,30)
8/2.79 = 1/2.867, or $2.86 per each oz
15/5.54 = 2.707/1, or 2 oz for every 1 dollar
the 15 oz jar of salsa has the better unit rate
hope this helps