Question

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

Answer 1

Answer:

• The rate of change of function 1 = 0

• The rate of change of the function 2 = 3

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Step-by-step explanation:

Function 1

A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).

Given the points

• (0, 3)

• (4, 3)

It means

at x = 0, y = 3

at x = 4, y = 3

Since the y-values are same, it means the points lie on a horizontal.

The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).

Therefore, the rate of change of function 1 = 0

Function 2

y = 3x+1

comparing with the slope-intercept form

y = mx+b      

here m is the rate of change or slope and b is the y-intercept

so the rate of change of the function 2 = m = 3

Conclusion:

• The rate of change of function 1 = 0

• The rate of change of the function 2 = 3

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.