Asked by kymari davis-shanks
3 of 33 of 3 Items
Question 1
Is this a linear function?
3X + 9 = 25
(1 point)
Responses
yes
yes
no
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine if \( 3X + 9 = 25 \) represents a linear function, we can first rewrite the equation in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
Starting with the original equation:
\[ 3X + 9 = 25 \]
We can isolate \( X \):
1. Subtract 9 from both sides:
\[ 3X = 25 - 9 \]
\[ 3X = 16 \]
2. Divide both sides by 3:
\[ X = \frac{16}{3} \]
This equation does not vary in terms of \( y \); instead, it represents a constant value of \( X \). Therefore, it does not fit the definition of a function that can have a range of outputs for a given input.
So, the answer is **no**, it is not a linear function.
Starting with the original equation:
\[ 3X + 9 = 25 \]
We can isolate \( X \):
1. Subtract 9 from both sides:
\[ 3X = 25 - 9 \]
\[ 3X = 16 \]
2. Divide both sides by 3:
\[ X = \frac{16}{3} \]
This equation does not vary in terms of \( y \); instead, it represents a constant value of \( X \). Therefore, it does not fit the definition of a function that can have a range of outputs for a given input.
So, the answer is **no**, it is not a linear function.
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