Question

The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.
The table below represents a proportional relationship with a constant unit rate of change of yyy with respect to xxx.
Which describes a greater unit rate of change of yyy with respect to xxx, the equation y=7.6xy=7.6xy, equals, 7, point, 6, x or the table?
xxx 111 222 333 444
yyy 888 161616 242424 323232

Answer 1

A slope is defined as the unit rate of change of variable "y" with respect to x. The unit rate of change of variable "y" with respect to x is 8

What is a slope?

A slope is defined as the unit rate of change of variable "y" with respect to x. It is also known as the gradient.

The formula for calculating the slope of a line is expressed as:

Slope = y2-1/x2-x1

Using the coordinate points (1, 8) and (2,16)

Slope = 16-8/2-1
Slope = 8/11
Slope = 8

Hence the unit rate of change of variable "y" with respect to x is 8

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