Answer:
531441
Not reasonable
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]
From inspection of the given table the y-intercept is 1.
Therefore, a = 1.
Substitute the found value of a and one of the ordered pairs (1, 3) into the formula and solve for b:
[tex]\implies 3=1 \cdot b^1[/tex]
[tex]\implies 3=b[/tex]
[tex]\implies b=3[/tex]
Therefore, the exponential equation that models the given data is:
[tex]y=3^x[/tex]
where:
- x is the number of hours
- y is the number of views
To find the number of views after 12 hours, substitute x = 12 into the found equation:
[tex]\implies y=3^{12}[/tex]
[tex]\implies y=531441[/tex]
It is not reasonable for the number of views to continue to grow exponentially as after 24 hours the number of views would be 282.4 billion.
