The value of y when x = 10 is 22.5 ⇒ 1st answer
Step-by-step explanation:
Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
If y varies directly with x, then
- y ∝ x
- y = k x, is the equation of variation where k is the constant of variation
∵ y varies directly with x
∴ y ∝ x
∴ y = k x
To find k substitute x and y by their initial values
∵ y = 9 and x = 4
- Substitute y by 9 and x by 4 in the equation above
∴ 9 = k(4)
- Divide both sides by 4
∴ 2.25 = k
∴ The value of k is 2.25
- Substitute the value of k in the equation above
∴ y = 2.25 x ⇒ equation of variation
∵ x = 10
- To find y substitute x by 10 in the equation of variation
∵ y = 2.25(10)
∴ y = 22.5
∴ The value of y is 22.5
The value of y when x = 10 is 22.5
Learn more:
You can learn more about variation in brainly.com/question/10708697
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