Question
18.
Function A: Function B: Function C: y=x+5
(4 points)
a. Which function has the greatest rate of change (slope)?
b. Which function has the smallest y-intercept?
c. Which function would you want to represent your money earned per hour?
d. Which function would give you the highest initial amount of money?
Function A: Function B: Function C: y=x+5
(4 points)
a. Which function has the greatest rate of change (slope)?
b. Which function has the smallest y-intercept?
c. Which function would you want to represent your money earned per hour?
d. Which function would give you the highest initial amount of money?
Answers
GPT-4o mini
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.
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.