Identify the Function: Graph That Passes Through (5,25)

To solve the problem, let's analyze each equation to determine which function's graph passes through the point $(5, 25)$.

• Equation 1: $y = 4x + 1$
  Substitute $x = 5$ into equation: $y = 4(5) + 1 = 20 + 1 = 21$
  This does not satisfy $y = 25$.
• Equation 2: $y = 5x + x$
  Substitute $x = 5$ into equation: $y = 5(5) + 5 = 25 + 5 = 30$
  This does not satisfy $y = 25$.
• Equation 3: $y = 4x + x$
  Substitute $x = 5$ into equation: $y = 4(5) + 5 = 20 + 5 = 25$
  This satisfies $y = 25$.
• Equation 4: $y = 3x + x$
  Substitute $x = 5$ into equation: $y = 3(5) + 5 = 15 + 5 = 20$
  This does not satisfy $y = 25$.

Upon evaluating all the options, Equation 3, $y = 4x + x$, is the only one that satisfies the condition $y = 25$ when $x = 5$. Therefore, the function whose graph passes through the point $(5, 25)$ is $y = 4x + x$.