41 views
To solve this, we are going to use the exponential function:
[tex]f(t)=a(1+b)^t[/tex]
[tex]f(t)[/tex] is the final number of views after [tex]t[/tex] weeks
[tex]a[/tex] is the number of views
[tex]b[/tex] is the growing rate in decimal form
[tex]t[/tex] is the time in weeks
We know from our problem that the number initial views was 20 and the growing rate is 20%, so [tex]a=20[/tex] and [tex]r=\frac{20}{100} =0.2[/tex]. Let's replace the values in our exponential function:
[tex]f(t)=a(1+b)^t[/tex]
[tex]f(t)=20(1+0.2)^t[/tex]
[tex]f(t)=20(1.2)^t[/tex]
Now to find the number of views expected four weeks from now, we just need to replace t with 4, so [tex]t=4[/tex]
[tex]f(t)=20(1.2)^t[/tex]
[tex]f(4)=20(1.2)^4[/tex]
[tex]f(t)=41.472[/tex]
And rounded to the nearest whole number:
[tex]f(t)=41[/tex]
Answer:
41 views
Step-by-step explanation:
Because 41.472 is rounded to 41.
