This is an exponential function : f ( x ) = 2 · 5 ^x
The curve goes trough the points: ( 1, 10 ), ( 2, 50 ), ( 3, 250 ).
The multiplicative rate of change:
( 50 : 10 ) / ( 2 - 1 ) = 5 / 1 = 5
( 250 : 50 ) / ( 3 - 2 ) = 5 / 1 = 5
Answer: 5
There is no rate of change of Function 1. It's slope(rate of change) is zero.
Function 2 has a slope of 2.
You know that the slope, m=5. You have a point (6,7) as (x,y). The slope-intercept form is y=mx+b. Plug in the number for x,y, and m, and then you would be able to find b using the slope-intercept form. Then rewrite the equation as y=5x+b, which you just found b.
(Here's the first step. 7=5(-6)+b). Find b, and then write the slope-intercept form as y=5x+b.
