Let's break down your questions one by one:
Question 1:
Using the equation \( C = 5 + 12x \), which of the following statements could be a correct interpretation of the coefficient of a term?
In the equation \( C = 5 + 12x \):
- The term \( 12x \) has a coefficient of 12.
- This means that for every unit increase in \( x \), the value of \( C \) increases by 12 units.
Possible interpretations of the coefficient of \( x \) (in this case, 12) could be:
- The coefficient (12) represents the rate of change of \( C \) with respect to \( x \).
- For every additional unit of \( x \), \( C \) increases by 12.
If you have specific answer choices, please provide them for a more targeted analysis.
Question 2:
Which of the following statements about the equation \( 3x−1=7+x \) is correct?
To analyze the equation \( 3x - 1 = 7 + x \), we can solve for \( x \):
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First, subtract \( x \) from both sides: \[ 3x - x - 1 = 7 \] which simplifies to: \[ 2x - 1 = 7 \]
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Next, add 1 to both sides: \[ 2x = 8 \]
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Finally, divide both sides by 2: \[ x = 4 \]
This means the correct statement would relate to the solution \( x = 4 \).
If you have specific statements to review, please provide them for further clarification!
1 answer