Using the equation C=18+4x

, which of the following statements could be a correct interpretation of the coefficient of a term?

Statement #1: Tatiana spent $4.00 per book at the public library.

Statement #2: Tatiana spent $18.00 per book at the public library.

(1 point)
Statement #
could be a correct interpretation of the coefficient of a term.

3 answers

In the equation \( C = 18 + 4x \):

  • \( C \) represents the total cost,
  • The constant \( 18 \) represents a fixed cost (like a base fee or an initial charge),
  • The coefficient \( 4 \) represents the variable cost per item, in this case, books.

Given those interpretations:

  • Statement #1: "Tatiana spent $4.00 per book at the public library." This is correct because the coefficient \( 4 \) indicates the cost per book.

  • Statement #2: "Tatiana spent $18.00 per book at the public library." This is incorrect because the $18 represents a fixed cost, not the cost per book.

Therefore, Statement #1 could be a correct interpretation of the coefficient of a term.

Which of the following statements about the equation 2x−5=8+x
is correct?

Statement #1: There are two constants in the equation.

Statement #2: x does not have a coefficient.

Statement #3: There are two terms in the equation.

(1 point)
Statement #
is correct.
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