To analyze the functions based on the provided information, we need to clarify what the specific functions A, B, and C are, as only one function (y = x + 5) was provided. However, we can still answer the questions based on typical properties of linear functions. Let's assume these functions have different slopes and y-intercepts.
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Which function has a negative rate of change (slope)?
- A function has a negative rate of change if its slope is less than 0. If any of the functions besides y = x + 5 (which has a slope of +1) have a slope that is negative, that function would be the one with a negative rate of change.
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Which function has the smallest y-intercept?
- The y-intercept is the value of y when x = 0. For y = x + 5, the y-intercept is 5. You would need to compare this to the y-intercepts of functions A and B to determine which is the smallest.
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Which function would you want to represent your money earned per hour?
- You would want a function with a positive rate of change (slope) for money earned per hour. In this case, y = x + 5 has a positive slope, indicating that you earn more money as hours increase. If A or B has a higher positive slope, that function would be a better representation, but based on the provided information alone, y = x + 5 is suitable.
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Which function would give you the highest initial amount of money?
- The initial amount of money can be determined by the y-intercept of the function. In this case, if y = x + 5 has the highest y-intercept among the functions, it would yield the highest initial amount. You would need to compare the y-intercepts of all functions to confirm this.
To summarize, without additional functions A and B, it’s challenging to answer definitively. You should provide the complete definitions of functions A and B to get precise answers.