Answer:
Step-by-step explanation:
Let x represent the number of days , then
(1) The exponential function to represent the spread of Ben's social media spread implies :
f(x) = 2([tex]3^{x}[/tex])
(2) The exponential function that represent carter;s social media spread implies
f(x) = 10([tex]2^{3}[/tex]
(3) the graph of the three functions is attached below
color red graph represents Ben's social media spread , the graph with color blue represents Carter;s social media spread and the graph with green color represents Amber's social media spread
(4) on the 3rd day
Amber will receive 192 shares .
The equation for the spread of his shares is
f(x) = 3([tex]4^{x}[/tex]
where x is the number of days , so we have
3([tex]4^{3}[/tex])
= 3 ( 64)
= 192 shares
Ben's shares on the 3rd day will be
f(x) = 2([tex]3^{x}[/tex] )
= 2([tex]3^{3}[/tex])
= 2 ( 27)
= 54
Therefore , Ben will have 54 shares on the third day
Carter's share on the third day
f(x) = 10 ( [tex]2^{x}[/tex] )
= 10 ([tex]2^{3}[/tex] )
= 10 (8)
= 80
Therefore , Carter will receive 80 shares on the 3rd day
