Question

2. Aarav has 3,250 followers on social media. His number of followers is increasing

at a rate of 3% per week. Which function represents his number of followers

each week?

a. f(w) = 3,250(3)

b. f(w) = 3,250(0.03)

c. f(w) = 3,250(0.97)

d. f(w) = 3,250(1.03)W

Answer 1

Answer:

Option d.

Step-by-step explanation:

It is given that Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week.

Initial followers = 3,250

Rate = $3\% =\dfrac{3}{100}=0.03$

The exponential growth function is

$f(w)=a(1+r)^w$

where, a is initial value, r is rate and w is time per week.

Substitute a=3,250 and r=0.03.

$f(w)=3,250(1+0.03)^w$

$f(w)=3,250(1.03)^w$

Therefore, the correct option is d.

Answer 2

Answer:

d. f(w) = 3,250(1.03)

Step-by-step explanation:

Since the rate of is followers is increasing, we need to use 1 + r

Convert 3% to a decimal, so 3/100 = 0.03  

Add this to 1: 1 + 0.03 = 1.03

So, f(w)=3,250(1.03)w