The true statements about the function y = 3x are I, II, IV ⇒ 4th
Step-by-step explanation:
The direct variation is:
- A mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other
- The constant is called the constant of variation
- The direct variation is represented graphically by a line passes through the origin
- If y varies directly with x, then the equation of variation is y = kx, where k is the constant of variation
∵ y = 3x
- One variable is equal to the product of a constant and the
other variable
∵ The equation is in the form of the direct variation
∴ The function is a direct variation ⇒ I
∵ The direct variation represented by a line passes through the origin
∴ y = 3x is represented graphically by a line passes through the origin
∴ The function goes through the origin ⇒ II
∵ y = 3x is a direct variation
∴ 3 represents the constant of variation
∴ The constant of variation is not 1/3 ⇒ III
∵ y = 3x
∵ x = 2
- Substitute x by 2 to find y
∴ y = 3(2)
∴ y = 6
∴ y is 6 when x is 2 ⇒ IV
The true statements about the function y = 3x are I, II, IV
Learn more:
You can learn more about the variation in brainly.com/question/10708697
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