Question

Using the equation `C=5+12x,`which of the following statements could be a correct interpretation of the coefficient of a term?
julia earns $5 every hour for her job
julia earns $12 every hour for her job
the total amount of money julia earns
the initail amount of money julia has in her pocket

Answer 1

To interpret the equation \( C = 5 + 12x \):

- \( C \) represents the total amount of money Julia earns.
- The constant term \( 5 \) can be interpreted as the initial amount of money Julia has (for example, she might start with $5).
- The coefficient \( 12 \) represents the amount of money Julia earns per hour, where \( x \) is the number of hours worked.

Given the provided statements, the correct interpretations of the coefficients in the equation are:

- "julia earns $12 every hour for her job." (This reflects the coefficient of \( x \).)
- "the initial amount of money julia has in her pocket." (This reflects the constant term \( 5 \).)

So, the statement that could be a correct interpretation of the coefficient of a term would be:

- **julia earns $12 every hour for her job.**