Question

Owen and Rose each thought of a linear function. Owen's function is y =


x + 1, and Rose's function is shown in the graph.

Which statement is true?
Responses
A Owen’s function has both a greater slope and a greater y-intercept.Owen’s function has both a greater slope and a greater y-intercept.
B Rose’s function has both a greater slope and a greater y-intercept.Rose’s function has both a greater slope and a greater y-intercept.
C Rose’s function has a greater slope, and Owen’s function has a greater y-intercept.Rose’s function has a greater slope, and Owen’s function has a greater y-intercept.
D Owen’s function has a greater slope, and Rose’s function has a greater y-intercept.Owen’s function has a greater slope, and Rose’s function has a greater y-intercept.

Answer 1

To determine which statement is true about Owen's function \( y = x + 1 \) and Rose's function depicted in a graph, we need to analyze both functions.

1. **Identify Owen's function:**
- The function is \( y = x + 1 \).
- The slope (m) is 1 (the coefficient of \( x \)).
- The y-intercept (b) is 1 (the constant term).

2. **Analyze Rose's function:**
- Since the graph is not provided here, you would need to observe two key aspects:
- The slope of Rose's function (the steepness of the line).
- The y-intercept of Rose's function (where the line crosses the y-axis).

With this information, you should compare the slopes and y-intercepts of both functions:

- If Rose’s slope is greater than 1 and her y-intercept is greater than 1, then option B would be true.
- If Rose’s slope is greater than Owen's but her y-intercept is less than 1, option C would be true.
- If Owen's slope (1) is greater than Rose's but Rose’s y-intercept is greater than Owen's (1), option D would be true.
- If Owen’s slope and y-intercept are both greater than Rose's, option A would be true.

Since I cannot see the graph of Rose's function, I cannot definitively tell you which statement is true. If you provide the details of Rose’s function (or key points from the graph), I could help clarify which response matches the situation.