Answer:
Part 1) [tex]f(x)=15(1.06)^x[/tex]
Part 2) [tex]f(x)=60(1.015)^x[/tex]
Part 3) [tex]f(x)=150(1.6)^x[/tex]
Step-by-step explanation:
we know that
The equation of a exponential growth is equal to
[tex]y=a(1+r)^x[/tex]
where
a is the initial value
r is the rate of change
Part 1) we have
A scientist initially had 15 micrograms of bacteria in a petri dish, which increased at a rate of 6% each hour
Let
x ---> the number of hours
y ---> micrograms of bacteria
we have
[tex]a=15\ micrograms\\r=6\%=6/100=0.06[/tex]
substitute
[tex]y=15(1+0.06)^x[/tex]
[tex]y=15(1.06)^x[/tex]
Convert to function notation
[tex]f(x)=15(1.06)^x[/tex]
Part 2) we have
The membership price for an online retailer was initially $60 per year, but it increased at a rate of 1.5% per year
Let
x ---> the number of years
y ---> the membership price for an online retailer
we have
[tex]a=\$60\\r=1.5\%=1.5/100=0.015[/tex]
substitute
[tex]y=60(1+0.015)^x[/tex]
[tex]y=60(1.015)^x[/tex]
Convert to function notation
[tex]f(x)=60(1.015)^x[/tex]
Part 3) we have
An online blog started with 150 followers, and the number of followers increased at a rate of 60% each month.
Let
x ---> the number of months
y ---> the number of followers
we have
[tex]a=150\ followers\\r=60\%=60/100=0.6[/tex]
substitute
[tex]y=150(1+0.6)^x[/tex]
[tex]y=150(1.6)^x[/tex]
Convert to function notation
[tex]f(x)=150(1.6)^x[/tex]
Answer:
what the other guy said lolol
Step-by-step explanation:
