Let’s analyze the question.

The original function is:
$y = 25 + 5x$
This represents Kevin's savings plan where he starts with $25 (y-intercept) and saves $5 per week (slope).

If Kevin saves $10 per week instead of $5, the new function will be:
$y = 25 + 10x$

Comparison:

• The slope of the new line (10) is greater than the slope of the original line (5).
• A greater slope means the new line is steeper than the original line.

Correct Answer:

D. The line for the new function would be steeper than the original line.

Would you like me to explain further or clarify?

Here are 5 related questions to expand your understanding:

1. What does the slope of a linear function represent in real-world problems?
2. How would the graph change if Kevin saved $2 per week instead?
3. What happens if the initial $25 savings changes instead of the weekly savings?
4. How do you find the intersection point of two linear equations like this?
5. What does it mean for two lines to be parallel or perpendicular?

Tip: Always focus on the slope when analyzing changes in the steepness of a graph. The larger the slope, the steeper the line!