It seems like your question is referring to a series of functions labeled A, B, and C, but the details of these functions aren't provided except for one which is \( y = x + 5 \).
To answer your questions accurately, I would need the equations for functions A and C as well. However, based on the information you've shared and if we assume Function B is the one defined as \( y = x + 5 \), I can answer your questions in this context:
a. Which function has the greatest rate of change (slope)?
- If Function B is \( y = x + 5 \), its slope is 1 (coefficient of \( x \)). Without the equations of A and C, I cannot determine which has a greater slope, but if Function A and C slopes are less than 1, then Function B has the greatest slope.
b. Which function has the smallest y-intercept?
- The y-intercept of Function B (when \( x = 0 \)) is 5. If A and C have y-intercepts greater than 5, then Function B has the smallest y-intercept.
c. Which function would you want to represent your money earned per hour?
- If Function B is the one with a slope of 1, then it represents a constant earning of 1 unit of currency per hour. You would want the function representing the highest slope (rate of earning), which cannot be determined without knowing A and C.
d. Which function would give you the highest initial amount of money?
- The highest initial amount corresponds to the highest y-intercept. If Function B has a y-intercept of 5, then if A or C has a y-intercept greater than 5, those functions would give a higher initial amount.
If you could provide the actual equations for Functions A and C, I could provide more precise answers!