Which function has the greater rate of change?
function 1 : y= 5/6x+10
function 2 pictured below:

Function 1

Step-by-step explanation:

The rate of change is measured by the slope m

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x + 10 ← is in slope- intercept form

with slope m =

Calculate the slope of Function 2 using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 14.25) and (x₂, y₂ ) = (1, 15.75) ← 2 ordered pairs from the table

m = = = 0.75 =

To compare the 2 fractions we require them to have a common denominator.

= and =

>

Thus Function 1 has the greater rate of change

answer: a.   one is a factor of every whole number since every number is divisible by itself.