Let's analyze each function to answer the questions:
-
Which function has a negative rate of change (slope)?
Each of the functions is not explicitly provided, but from the provided function \( y = x + 5 \), we can infer that this function has a positive slope of +1. Since we only have one function, we cannot determine a negative rate of change without additional functions that would have a negative slope. -
Which function has the smallest y-intercept?
The function provided, \( y = x + 5 \), has a y-intercept of 5 (the value of \( y \) when \( x = 0 \)). To determine the smallest y-intercept among multiple functions, we would need to know the y-intercepts of the other functions, which are not provided. Thus, we cannot determine an answer based on the information given. -
Which function would you want to represent your money earned per hour?
Generally, you would want a function with a positive slope to represent money earned per hour, indicating that as time (or hours worked) increases, the money earned also increases. Without other functions, we can say that \( y = x + 5 \) would represent an increase in earnings. -
Which function would give you the highest initial amount of money?
The initial amount of money corresponds to the y-intercept of the function. The only function given has a y-intercept of 5, so without other functions, we cannot determine if this is the highest. However, if this is the only function being considered, it would provide an initial amount of 5.
Summary:
- Negative rate of change: Cannot determine (only one function given).
- Smallest y-intercept: Cannot determine (only one function given).
- Money earned per hour: \( y = x + 5 \) (positive slope).
- Highest initial amount of money: 5 (if this is the only function considered).
If there are more functions that you would like to analyze, please provide them for comparison.
1 answer