MATH SOLVE

4 months ago

Q:
# Find the constant of proportionality for the table of values.621724.5828931.5The constant of proportionality is k =

Accepted Solution

A:

The constant of proportionality k is 3.5Step-by-step explanation:Proportionality describes any relationship that is always in the sameratioIf two quantities x and y are in proportionality, then1. y ∝ x2. 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 = 3.5The constant of proportionality k is 3.5Learn more:You can learn more about proportionality in brainly.com/question/10708697#LearnwithBrainly