Question 1136695
recall:

{{{y=a*b^x}}}

if {{{b>1}}}, represents {{{growth}}} function
if {{{0<b<1}}}, represents {{{decay}}} function

you are given

{{{y=35(0.57)^x}}}

(a) Does this equation represent growth or decay?

since {{{b=0.57}}}=>{{{0<b<1}}}, and your function represents {{{decay}}} 


(b) What is the rate of growth or decay?


recall: {{{y = a(1 - r)^x}}} where {{{r}}} is rate of decay, {{{a}}} is initial value

in your case {{{1 - r=0.57}}}=>{{{r=1-0.57}}}=>
{{{r=0.43}}}


(c) What is the initial value

{{{a=35}}}


(d) Evaluate for {{{x=3}}}


{{{y=35(0.57)^3}}}

{{{y=35*0.185193}}}

{{{y=6.481755}}}