219k views
2 votes
Which of the relationships below represents a function with a lesser rate of change (slope) than the function y=-5/4x+5

1 Answer

3 votes

Answer:

The answer is in this explanation below, scroll down !! :>

Explanation:

o find a function with a lesser rate of change (slope) than the function y = -5/4x + 5, we need to find a function that has a smaller absolute value for the slope!

The slope of the function y = -5/4x + 5 is -5/4. This means that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 5/4 units.

To find a function with a lesser rate of change, we need a smaller absolute value for the slope. Therefore, we are looking for a function with a slope that is less than -5/4 in absolute value!

Here are some examples of functions with a lesser rate of change:

1. y = -1/2x + 5: The slope of this function is -1/2, which is smaller in absolute value compared to -5/4. This means that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 1/2 units!

2. y = -1/3x + 5: The slope of this function is -1/3, which is also smaller in absolute value compared to -5/4. For every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 1/3 units. . .

In summary, functions with a lesser rate of change than y = -5/4x + 5 can be represented by equations such as y = -1/2x + 5 or y = -1/3x + 5, where the slope is smaller in absolute value!

I hope this answer is helpful to you! :>

User Aalok Sharma
by
7.7k points