Calculate Rate of Change: Finding the Slope of y=16+16x

Given the linear function:

y=16+16x y=16+16x

What is the rate of change of the function?

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Step-by-step video solution

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00:00 Find the rate of change of the function
00:03 Let's arrange the equation
00:06 The rate of change is the slope of the function (M)
00:09 Let's use the straight line equation
00:16 Let's compare and find the slope of the function using the straight line equation
00:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the linear function:

y=16+16x y=16+16x

What is the rate of change of the function?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Identify the standard form of the linear function.
  • Determine the coefficient of x x , which is the slope m m .

Now, let's work through each step:

Step 1: The given linear function is y=16+16x y = 16 + 16x , which is in the form y=mx+b y = mx + b .

Step 2: In this function, the coefficient of x x is 16 16 . This coefficient is the slope m m of the function.

Therefore, the rate of change of the function, or the slope, is m=16 m = 16 .

3

Final Answer

m=16 m=16

Practice Quiz

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For the function in front of you, the slope is?

XY

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