Question

23 y* 1000 Jou Number Consider the following functions which all bac an initial value of 3 borse decay? By what percent? Rewites 1r) or (1) first before deodine W) 3600 3) 30(104) p(x) 3000.65) 8(1) 30612 s(t) = 30(077) )=300.98)

Answer 1

Part 4

Part a

we have

`y=10(1.15)^x`

this is an exponential function

the initial value is the y-intercept

so

the initial value is 10

the y-intercept is (0,10)

is a growth function, because 1.15 > 1

percent=(1.15-1)=0.15=15%

Part b

we have

`y=75(1.08)^x`

the y-intercept is (0,75)

Is a growth function

percentage=(1.08-1)=0.08=8%

Part c

we have

`y=110(0.35)^x`

the y-intercept is (0,110)

Is a decay function because 0.35 < 1

percentage=1-0.35=0.65=65%

Part d

we have

`y=45(0.85)^x`

the y-intercept is (0,45)

Is a decay function

percentage=1-0.85=0.15=15%