Question

A website recorded the number of referrals it received from social media websites over a 10-year period. The results can be modeled by g = 2500(150), where is the year and SSRinterpret the values of a and & in this situation.a represents the number of referrals after 9 years, represents the growth factor of the number of referrals each yeara represents the number of referrals it received at the start of the model; &represents the decay factor of the number of referralsa represents the number of referrals after 9 years; b represents the decay factor of the number of referrals sach yeara represents the number of referrals it received at the start of the model & represents the growth factor of the number offWhat is the annual percent increase?The annual percent increase is %.

Answer 1

Given

`y=2500(1.50)^t`

Find

Interpret the values of a and b , also annual percent increase

Step-by-step explanation

As the general form of growth exponential function is in the form of

`\begin{gathered} y=ab^t \\ \end{gathered}`

where a is the inital value

t is the time

b= 1+r = where r is the rate of growth

so , in given situation

a represents the number of referrals it received at the start of the model; and b represents the growth factor of the number of referrals

option 4 is the correct one.

now we have to find the annual percent increase

for this we have to find the final referrels after 1 years.

for this put t = 2in given equation

`\begin{gathered} y=2500(1.50)^2 \\ y=5625 \end{gathered}`

annual percent increase =

`\begin{gathered} (5625-2500)/(2500)*100 \\ \\ (3125)/(2500)*100 \\ \\ 125\% \end{gathered}`

Final Answer

Therefore , the correct option is d .

the annual percent increase is 125%