Question

The graph shows the number of game consoles sold in millions since 2009.
Game Console
9
(0, 25.5)
25
20
(1, 15.3)
Number of Game Consoles Sold
(millions)
15
10
(2, 9.18)
0
2 3 4 5 6 7
Number of Years Since 2009
Based on this information, which function best models the number of game consoles sold in
millions x years since 2009?
A 9(x) = 0.6(25.5)
09(x) = 25.5(0.6)
c g(x) - 6.12(25.5)
D 9(x) = 25.516 Y

Answer 1

The graph is an illustration of an exponential function

The equation of the graph is: $y = 25.5 * 0.6^x$

How to determine the equation of the graph

From the graph, we have the following ordered pairs

(x,y) = (0, 25.5), (1, 15.3) and (2, 9.18)

An exponential function is represented as:

$y = ab^x$

When x = 0, we have:

$25.5 = ab^0$

$a = 25.5$

When x = 1, we have:

$15.3 = ab^1$

$15.3 = ab$

Substitute 25.5 for a

$15.3 = 25.5b$

Solve for b

$b = 0.6$

So, the exponential equation is:

$y = 25.5 * 0.6^x$

Hence, the exponential equation of the graph is: $y = 25.5 * 0.6^x$

Read more about exponential functions at:

brainly.com/question/11464095