To analyze the questions regarding the functions, we need to understand their slopes and y-intercepts. However, you've only provided one function:
Function A: \( y = x + 5 \)
Assuming you meant to provide additional functions for comparison (Function B and Function C), I’ll answer your questions based on the single function provided.
For Function A: \( y = x + 5 \)
- Slope (rate of change) is 1 (the coefficient of \(x\)).
- Y-intercept is 5 (the constant term).
Without the equations for Function B and Function C, I can provide general answers to each question based on the information we have:
a. Which function has the greatest rate of change (slope)?
To answer this, we need the slopes of Functions B and C. If Function A's slope is 1, look for the slopes of the other functions to determine the greatest.
b. Which function has the smallest y-intercept?
Again, this would require knowing the y-intercepts of Functions B and C. Since Function A has a y-intercept of 5, you need to compare it with the intercepts of the other functions.
c. Which function would you want to represent your money earned per hour?
The function with the greatest positive slope would typically represent the highest earnings per hour. Based on Function A alone, it has a slope of 1, but you'll need to compare it to Functions B and C.
d. Which function would give you the highest initial amount of money?
The function with the highest y-intercept will provide the largest initial amount. Function A's y-intercept is 5.
To provide more precise answers, please provide the equations for Function B and Function C.