Aarav has 3250 followers on social media. His number of followers is increasing at a rate 3% per week. Which function represents his number of followers each week?

Respuesta :

Answer: f(w) = 3,250(1.03)W

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Followers: 3,250

Increase rate: 3% per week

So, if the followers increase by 0.03 (increase rate in decimal form : 3/100 = 0.03) per week, we have to multiply the number of followers by the number of weeks and the increase rate ( 1+ 0.03 = 1.03).

Mathematically speaking:

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

Where:

w = number of weeks

The function that represents his number of followers each week is 3250 (1.03) w

Given that:

  • The initial number on Aarav social media = 3250

Now, if the number of followers keeps increasing at the rate of 3% per week.

Then the rate of increase can be computed as:

[tex]\mathbf{=( 1 + \dfrac{3}{100})w}[/tex]

where;

  • w = number of weeks

The function representing his number of followers each week is:

[tex]\mathbf{=3250( 1 + \dfrac{3}{100})w}[/tex]

[tex]\mathbf{=3250( 1 + 0.03)w}[/tex]

[tex]\mathbf{=3250( 1 .03)w}[/tex]

Therefore, we can conclude that the function that represents his number of followers each week is 3250 (1.03) w

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