Answer:
First, it's essential to define the equation that characterizes the function.
The investment is $200 with an interest rate of 5%, where y represents the money after x periods.
After one period, the amount of money grows to 200 plus 5% interest, resulting in 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After two periods, the total is 200(1.05)*(1.05) = 200 (1.05)^2
After three periods, it will be 200 (1.05)^3
Consequently, it can be inferred that after x periods, y = 200 (1.05)^x
Next, this function can be analyzed to project the graph's shape and significant points.
The answers derive from the initial value and the growth factor.
The initial value occurs when x = 0, giving y = 200 (1.05)^0 = 200*1 = 200
The growth factor is 1.05, indicating each subsequent value is multiplied by 1.05.
Step-by-step explanation:
