To analyze the given functions and answer the questions, let's first understand the properties of the functions:
- Function A: \( y = x + 5 \)
- Slope (rate of change): \( 1 \) (positive)
- y-intercept: \( 5 \)
Assuming Functions B and C are not explicitly defined, I will provide general insights based on common linear functions.
Answers to the questions:
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Which function has a negative rate of change (slope)?
- None of the functions provided have a negative slope since Function A has a slope of \( 1 \). If Functions B or C had negative slopes (e.g., a function of the form \( y = -mx + b\) where \( m > 0 \)), they would have a negative rate of change.
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Which function has the smallest y-intercept?
- From Function A, the y-intercept is \( 5 \). Without knowing the values of the y-intercepts of Functions B and C, we cannot determine which has the smallest y-intercept. If either Function B or C has a y-intercept lower than \( 5\), it would be the answer.
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Which function would you want to represent your money earned per hour?
- Typically, to represent money earned, you would want a positive slope. Since Function A has a positive slope of \( 1\) (indicating a constant earning rate), it may be a suitable choice, but this would ultimately depend on the values of Functions B and C.
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Which function would give you the highest initial amount of money?
- The initial amount of money can be represented by the y-intercept of the functions. Function A has a y-intercept of \( 5 \). If Functions B or C have y-intercepts greater than \( 5\), then they would give a higher initial amount.
Please provide the definitions for Functions B and C if you need specific comparisons.