An airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. in 2016, the number of destinations will be twice the initial number of destinations. then, in 2017, the number of destinations will be twice the number of destinations the previous year. if this pattern continues, which of the following graphs represents the number of destinations in which the airline will operate over time? graph w graph x graph y graph z

The correct option is 1.

Step-by-step explanation:

Let x-axis represents the number of years since 2015 and y-axis represents the number of destination.

It is given that the n airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. It means the graph of passes through the point (0,10).

In 2016, the number of destinations will be twice the initial number of destinations. So, the number of destinations in 2016 is

It means the graph of passes through the point (1,20).

In 2017, the number of destinations will be twice the number of destinations the previous year. So, the number of destinations in 2017 is

It means the graph of passes through the point (2,40).

From the given graphs, only graph W passes through the points (0,10), (1,20) and (2,40).

Therefore the option is 1.