Question

Considering only functions with a rate of change less than that represented in the graph, which function has the greatest rate of change?

A) y=7/9x + 2/3
B) y=7/5x + 7/5
C) y=6/5x + 11/5
D) y=5/4x + 15/4

Answer 1

Option B, y=7/5x + 7/5, has the greatest rate of change. To do this, we can compare the coefficients of the x term in each function.

Step-by-step explanation:

The rate of change of a function is represented by its slope. In the given options, we need to determine which function has the greatest rate of change, or the steepest slope.

To do this, we can compare the coefficients of the x term in each function.

The coefficients are as follows:

• Option A: 7/9
• Option B: 7/5
• Option C: 6/5
• Option D: 5/4

Comparing the fractions, we can see that the greatest rate of change is represented by Option B, with a coefficient of 7/5.