Question

The graph represents function 1, and the equation represents function 2:

A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.

Function 2
y = 7x + 1

How much more is the rate of change of function 2 than the rate of change of function 1?

Answer 1

The second function has a ratio of change major than the first function's ratio by 7 units.

Explanation:

The first function is an horizontal line.

Horizontal lines don't have any slope, that is, they don't have a rate of change. So, this rate is zero for the first function.

The second function has its expression in the slope-interception form, where the slope is 7, this means that its ratio of change is 7, which is 7 more units than the ratio of change of the first function.