"Then I will need an average quality score of <u>3.28</u> to meet 85.28 goal."
<u>Step-by-step explanation</u>:
- current average quality score = 82
- improvement on average quality score = 4% of 82
⇒ (4/100)
82
⇒ 82/25
⇒ 3.28
The improved average quality score = 82+3.28 = 85.28
The employee needs an average quality score of 3.28 to meet the goal of 85.28
Answer:
Part 1) The constant of variation is 
part 2) The equation is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
Let
x -----> the number of square feet
y -----> the number of square yards
Three square yards are equivalent to 27 square feet
so
we have the point (27,3)
Part 1) What is the constant of variation?
The constant of variation or proportionality is equal to
substitute the values
Simplify
Part 2) What is the equation representing the direct variation?
we know that
substitute the value of k
Generally, they are $1.69 apiece, and this week they are 4 for 5$
This means that this week, they are $1.25 apiece, meaning you spend less, by about $0.44
This weeks is cheaper by 44 cents
First, plot the points in a graph to see the general trend. The independent variable is time. I used MS Excel to plot the points in a graph, as shown in the attached picture.
1. The relationship is linear as shown in the general trend.
2. The relationship presents that as time increases, the number of apartments cleaned also increases. The two variables are directly proportional.
3. The rate of change represents the slope of the line. Choose any two points and find the slope.
m = (6-3)/(2-1) = 3 apartments cleaned/hour
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.
Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line
y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)
y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)
