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

Choose the graph of the function that passes through the point (5,25) (5,25)

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find which line contains the point
00:03 In each point, the left number represents the X-axis and the right number represents Y
00:06 Substitute the point in each line equation and check if it's possible
00:15 Not possible, therefore the point is not on this line
00:18 Let's use the same method and find which line contains the point
00:22 Substitute in this line and check if it's possible
00:28 Not possible, therefore the point is not on this line
00:34 Substitute in this line and check if it's possible
00:43 Possible, therefore the point is on this line
00:46 Substitute in this line and check if it's possible
00:52 Not possible, therefore the point is not on this line
00:57 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the graph of the function that passes through the point (5,25) (5,25)

2

Step-by-step solution

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

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

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

3

Final Answer

y=4x+x y=4x+x

Practice Quiz

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Which statement best describes the graph below?

xy

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