Question

An airline operates in only 10 destinations in 2018, but plans on adding more destinations each year. In 2019, the number of destinations will be twice the initial number of destinations. Then, in 2020, the number of destinations will be twice the number of destinations the previous year.

If this pattern continues, which graph represents the number of destinations in which the airline will operate over time?

Answer 1

The graph in the attached figure

Explanation:

we know that

In this problem we have a exponential function of the form

`y=a(b)^(x)`

where

y ----> is the number of destinations

x ----> is the number of years since 2018

a is the initial value (a=10 destinations)

b is the base

r=100%=1

b=1+r=1+1=2

The equation is equal to

`y=10(2)^(x)`

using a graphing tool

The graph in the attached figure