Big Ideas Math: Modeling Real Life, Grade 7
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5. Graphs of Proportional Relationships
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Exercise 23 Page 216

Check whether the given function is in the form of y=kx or can be written in the form of y=kx.

Is x and y proportional? Yes.
Constant of Proportionality: 1
Explanation: The equation can be written as y=kx.

Practice makes perfect
We want to determine if x and y are proportional. x-y=0 Since the given function is not in the form of y= kx, let's try to rewrite it in this form by isolating y.
x-y=0
x=y
y=x
Now, recall that multiplying by 1 does not change the value of an expression. Therefore, we can write x as 1* x. y=x ⇒ y = 1* x We can write the equation in the form y= kx. This means that x and y are proportional. We can also identify the constant of proportionality k. y= 1 * x The constant of proportionality is 1.