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:
Height of the building that cast a shadow of 45 meters is 27 meters
Step-by-step explanation:
This is a direct variation and let height of the object represent H and shadow represent S
Hence H∝S
H = KS, where K=constant of proportionality
K = H/S
K = 6/10 = 0.6
Hence height of a building that cast a shadow of 45 meters
H = KS
H = 0.6 × 45 = 27 meters
Answer:
x=-8
Step-by-step explanation:
16x+35 = -93
subtract 35 from each side
16x = -93 -35
16x = -128
divide each side by 16
x = -128/16
x=-8
Answer: floating variable.
Step-by-step explanation:
Answer:
-8.23
Step-by-step explanation:
If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.
126.89+21.59= 148.48
Then subtract the amount of money the repairs costed.
148.48 - 156.61 = -8.23
Therefore Lori would have a balance of -$8.23.
