Question

A website recorded the number y of referrals it received from social media websites over a 10-year period. The results can be modeled by y = 2500(1.50), where t is the year and 0 ≤ t ≤9.Interpret the values of a and b in this situation.O a represents the number of referrals after 9 years; b represents the growth factor of the number of referrals each year.a represents the number of referrals it received at the start of the model; b represents the decay factor of the number of referralseach year.O a represents the number of referrals after 9 years; b represents the decay factor of the number of referrals each year.a represents the number of referrals it received at the start of the model; b represents the growth factor of the number ofreferrals each year.What is the annual percent increase?The annual percent increase is%.

Answer 1

In this problem

we have an exponential growth function

`y=2500(1.50)^t`

where

a=2500 ----> initial value of the number of referrals at the start of the model

b=1.50 ---> the base of the exponential function (growth factor of the number of referrals each year

therefore

The answer Part 1 is the last option

Part 2

Find out the annual percent increase

we know that

b=1+r

b=1.50

1.50=1+r

r=1.50-1

r=0.50

therefore

r=50%

The annual percent increase is 50%