Final answer:
The correct option is B). The equation to calculate Amy's earnings as a CEO is y = 234x, where x is the number of hours worked and y is the total earnings. This is presented as option B in the question.
Step-by-step explanation:
To calculate Amy's earnings as a CEO, we use a linear equation where the independent variable x represents the number of hours worked, and the dependent variable y indicates the total earnings. Amy makes $234 per hour. Therefore, for every hour worked, her earnings increase by $234. This situation is an example of a direct proportion without a starting fee or base payment. So, the correct linear equation to represent her earnings is y = 234x.
Looking at the options given:
- A) y = x + 234 is incorrect because it suggests she earns $1 for every hour plus a one-off amount of $234, which is not the case.
- B) y = 234x is the correct equation because it shows that her earnings (y) are $234 times the number of hours (x) she works.
- C) y = 234x + 19 includes an additional amount of $19 regardless of the hours worked, which is not part of the given information.
- D) The statement 'Neither are correct' is invalid because option B is the correct equation.
Therefore, the answer is B) y = 234x.