Question

Which functions have the same rate of change?

Answer 1

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. $y=mx+b$

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

Let's look over the equations:

Equation A:

$y=0.3x-6$

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

Equation B:

$y=3x-8$

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

Equation C:

$y=0.3x+4$

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

Equation D:

$y=0.03x+1$

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.