Which function has the greatest rate of exponential growth? Multiple choice options below.

Option (3).(Bottom left)

Step-by-step explanation:

Formula for the exponential growth is,

h(x) =

where r = rate of exponential growth

a = initial amount

t = duration or time

Option (1) (Top left)

h(t) =

     =

Rate of exponential growth will be,

r = 18%

Option (2) (Top right)

k(t) =

     =

     =

     =

r = -62.5%

This function shows the exponential decay rate of 62.5%.

Option (3) (Bottom left)

f(t) =

    =

    =

r = 36%

Option (4) (Bottom right)

g(t) =

     =

     =

r = -14%

This function shows the decay rate of 14%.

Therefore, Option (3). (Bottom left) shows the greatest exponential growth.

yes

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.