Question

The unit rate of change of y with respect to x is the amount y changes for a change of one unit in x. Is the unit rate of change of y with respect to x greater in the equation y=0.25x or in the graph below? Choose 1 answer: a the equation b the unit rates are the same c the graph

Answer 1

Answer:

Option (a). The equation

Step-by-step explanation:

Rate of change of any equation or graph is represented by its slope 'm'.

In an equation y = mx + b

'm' represents the slope.

Given equation is,

y = 0.25x

Slope of the line m₁ = 0.25

From the graph attached,

A line passes through two points (0, 0) and (5, 1)

Slope of the line = $\frac{y_2-y_1}{x_2-x_1}$

                      m₂ = $\frac{1-0}{5-0}$

                      m₂ = 0.2

m₁ > m₂

Therefore, unit rate of change in y is greater in the given equation.

Option (a) will be the answer.