A video game begins with five characters. Doing the game, each character splits and becomes 2 new characters every hour. The character population is shown in the graph below

12. The growth factor is 2. This refers to the characters doubling every hour. The equation that models this is y = 5*2^x. It is in the form y = a*b^x with a = 5 as the starting value and b = 2 as the growth factor.

13. The y intercept is 5. Visually this is where the graph crosses the y axis. It is located at the point (0,5). This is connected directly to the value of 'a' in the equation mentioned in problem 12.

14. The y intercept represents the starting amount of characters (5). The y intercept always occurs when x = 0 to indicate the starting amount. Put another way, when x = 0 hours, there are y = 5 characters to start from.

 12) 2

               13) 5

               14)  the y-int is the # of characters the game starts with

Step-by-step explanation:

NOTE: This is the graph of an exponential function which is of the form:

            y = a(b)ˣ    where

12) Notice that each y-value is double the previous value.  This means the growth factor is 2

13) The y-intercept is where the graph crosses the y-axis.  In the given graph, it crosses the y-axis at the midpoint between 0 and 10, which is 5.

14) The y-intercept is the initial value (starting point), which is the number of characters at the beginning of the game.

Bonus: The equation of the graph is: y = 5(2)ˣ

it is a reproduction.

step-by-step explanation:

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.