Question

Function 1: y = 4x + 5

Function 2: The line passing through the points (1, 6) and (3, 10).

Which of these functions has the greater rate of change?

Answer 1

The first one's slope=4 and the second one=2

Explanation:

Answer 2

y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
slope=(10-6)/(3-1)=4/2=2


function 1 slope is 4
function 2 slope is 2
4>2

the first one has greater rate of change