Answer:
The number of Pencils purchased and the cost of pencils represents a proportional relationship.
Step-by-step explanation:
As we know that proportional relationships between two variables have equivalent ratios.
For example,
3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because 12 × 9 = 3 × 36.
As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
Given
It means ach pencil costs $0.25.
So
- If Sarah buys 1 pencil it would cost = $0.25
- If Sarah buys 2 pencils it would cost = $0.5
- If Sarah buys 3 pencils it would cost = $0.75
- If Sarah buys 4 pencils it would cost = $1
Lets make a table:
No of Pencils Purchased Cost
1 $0.25
2 $0.5
3 $0.75
4 $1
so
Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4
So cost per pencil = 0.25 : 1
Since all of the ratios are equivalent, this table is a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
<u>The answer is D.</u>
A. 4 (is the only factor for expression -48xyz -24xy +40)
The value of r in the given coordinates with their slope is; r = 7
How to find the Slope of a Line?
The formula for slope of a line passing through 2 points is;
m = (y2 - y1)/(x2 - x1)
We are given the coordinates as;
(1,-10) and (r,2)
The slope of the line passing through this coordinates is 2. Thus;
(2 + 10)/(r - 1) = 2
12 = 2r - 2
2r = 14
r = 14/2
r = 7
Read more about Slope of a Line at; brainly.com/question/3493733
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Answer:
X=20. Our x coordinate is 20.
Step-by-step explanation:
Based from the given slope of 1/2 and a y-intercept of -6, our equation of a line is y=x/2 -6. To remove the fraction we can multiply the equation by 2 to get 2y=x-12. Using this substitute the value of y coordinate 4.
2(4)= x-12
8+12 =x
X=20.
