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:
You can learn more about proportionality in brainly.com/question/10708697
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6x + 8y = 24
x intercept is the value when y =0 & y intercept is the value when x=0
for y=0 ==> 6x+0 =24 ==> x=4 for x=0==> 0+8y =24 ==> y=3
(4,0) & (0,3) (ANSWER d)
Answer:
brainliest appreciated
Step-by-step explanation:
270- 216 = 54
so ...the percentage becomes
54/270 × 100 = 20%
<u>Answer:
</u>
6.3 trees.
<u>Step-by-step explanation:
</u>
We have been given that Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Let us find the number of trees Meryl needs to cut down to build 1 cabin by dividing 10.5 by 5.
Now let us multiply 2.1 by 3 to find the number of trees Meryl needs to cut down to build 3 cabins.
Therefore, Meryl needs to cut down 6.3 trees, if she builds 3 cabins.
