The graph shows the number of game systems sold since 2015. Based on this information, which function best models the number of game systems sold in millions `x` years since 2015? The graph is a slope that shows three points: (0, 30.5) (1, 21.35) (2, 14.95)

Question

a. y=21.35\left(0.7\right)^{x}
b. y=30.5\left(21.35\right)^{x}
c. =30.5\left(1.3\right)^{x}
d. y=30.5\left(0.7\right)^{x}

Answer 1

To select the best function that models the number of game systems sold based on the provided points (0, 30.5), (1, 21.35), and (2, 14.95), we need to analyze how the values change over time.

Let's interpret the points:

1. At $x=0$ years (2015), the number of systems sold is 30.5 million.
2. At $x=1$ year (2016), the number of systems sold is 21.35 million.
3. At $x=2$ years (2017), the number of systems sold is 14.95 million