The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
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Answer: A...................................
Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
where
B is the area of the base of the pyramid
H is the height of the pyramid
we have
substitute
Answer:
Your answer is 7
Hope this helps!
Step-by-step explanation:
You plug 14 in for x then just do 14-7 and you will get 7
Answer:
y= 2x+5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence m=2.
Subst. m=2 into the equation:
y=2x +c
Now substitute a coordinate.
When x= -2, y=1,
1= 2(-2) +c
1= -4 +c
c= 1 +4
c=5
Thus, the equation of the line is y= 2x +5.
