Question

100! POINTS

Answer 1

Answer:

General form of an exponential function: $y=ab^x$

where:

• a is the initial value
• b is the growth factor
• x is the independent variable
• y is the dependent variable

Anita's initial value is 41 and the number of viewers doubles each day

$\implies f(x)=41(2)^x$

Juan's initial value is 4 and the number of views quadruples each day

$\implies f(x)=4(4)^x$

Day 3

$\textsf{Harrison}:f(3)=7(2)^3=56$

$\textsf{Anita}:f(3)=41(2)^3=328$

$\textsf{Juan}:f(3)=4(4)^3=256$

$\textsf{Krista}:f(3)=6(3)^3=162$

Day 10

$\textsf{Harrison}:f(10)=7(2)^{10}=7168$

$\textsf{Anita}:f(10)=41(2)^{10}=41984$

$\textsf{Juan}:f(10)=4(4)^{10}=4194304$

$\textsf{Krista}:f(10)=6(3)^{10}=354294$

Juan's post travels the fastest.

This is shown by the growth factor in the equation form of the functions.

Juan's equation has the largest growth factor of 4.