NO
NA
2 4 6 8 10 12 14 16 18 20
Which ordered pair could represent the coordinates of point K? (2016)
A. (6,0)
B. (2,3)
C. (1.5, 0)
D. (7.5, 5)
The coordinates of point K in a proportional relationship, we determine the constant of proportionality and multiply is by the x-value to find the y-value. Option B, (2,3), is the correct coordinate pair.
To find the coordinates of point K, we need to determine the constant of proportionality between the x-values and the y-values.
The constant of proportionality is found by dividing the y-value by the x-value at any point on the line. Here, we can choose point N at (18,12).
So, the constant of proportionality is 12/18 = 2/3. To find the y-value of point K, we can multiply the x-value of K by the constant of proportionality: 2/3 * x = y.
Let's check the options. For option A, (6,0), y = 2/3 * 6 = 4.
However, the y-value of point N is 12, so this option is incorrect. Continuing with the same process for options B, C, and D, we find that the only option that satisfies the proportional relationship is option B, (2,3).
Learn more about Proportional Relationship here:
#SPJ2
Answer:
D or (7.5, 5)
Step by step explanation:
18 = x
12 = y
(18, 12)
18/7.5
= 2.4
12/5
= 2.4
2.4 = 2.4
The answer is D since its equivalent to (18,12)
5/12 is now 25/60 and 2/5 is 24/60 so the answer is 49/60
A gardener is building a flower garden with a border of mulch around it. A model of the design is shown.
A large rectangle with dimensions of 10.5 feet by 16 feet. A smaller rectangle with dimensions of 5.5 feet by 8 feet inside of the larger one.
Part A: Find the area of the mulch border that surrounds the 5.5 ft by 8 ft flower garden. Show all work.
Part B: If the mulch cost $3.64 per sq ft, how much will the mulch for this project cost? Show all work.
Answer:
Part A:
To find the area of the mulch border, we need to subtract the area of the smaller rectangle (flower garden) from the area of the larger rectangle.
The area of the larger rectangle is given by:
Area = length * width = 10.5 ft * 16 ft = 168 sq ft
The area of the smaller rectangle (flower garden) is given by:
Area = length * width = 5.5 ft * 8 ft = 44 sq ft
Therefore, the area of the mulch border is:
Area of mulch border = Area of larger rectangle - Area of smaller rectangle
Area of mulch border = 168 sq ft - 44 sq ft = 124 sq ft
Part B:
To find the cost of the mulch for this project, we need to multiply the area of the mulch border by the cost per square foot.
Cost of mulch = Area of mulch border * Cost per sq ft
Cost of mulch = 124 sq ft * $3.64/sq ft
Multiplying the values gives:
Cost of mulch = $451.36
Therefore, the mulch for this project will cost $451.36.