Which of the following equations represent functions where x is the input and y is the output? Select all that apply. Multi-select Choices: (A)y = 0.25x (B)y = 2/5 (C)x - y = 25 (D)y = 25 - 5x (E)y = 5^x

Question

Which of the following equations represent functions where x is the input and y is the output? Select all that apply.   Multi-select Choices: (A)y = 0.25x (B)y = 2/5 (C)x - y = 25 (D)y = 25 - 5x (E)y = 5^x

Bytelearn · Accepted Answer

Analyze equation (A):  Step 1: Analyze equation (A) y = 0.25x. - This equation shows y as a function of x because for each x, there is exactly one corresponding y value.Analyze equation (B):  Step 2: Analyze equation (B) y = 2/5. - This equation shows y as a constant value, not depending on x; hence, it's still a function because each x corresponds to one y (always 2/5).Analyze equation (C):  Step 3: Analyze equation (C) x - y = 25. - Rearrange to y = x - 25. This shows y as a function of x, as each x value gives one y value.Analyze equation (D):  Step 4: Analyze equation (D) y = 25 - 5x. - This equation also shows y as a function of x, with each x value uniquely determining a y value.Analyze equation (E):  Step 5: Analyze equation (E) y = 5^x. - This equation represents y as a function of x, where y changes based on the value of x, and each x has one y.

Which of the following equations represent functions where $x$ is the input and $y$ is the output? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) $y = 0.25x$ $\newline$ (B) $y = \frac{2}{5}$ $\newline$ (C) $x - y = 25$ $\newline$ (D) $y = 25 - 5x$ $\newline$ (E) $y = 5^x$

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