Answer:
The correct option is C.
Step-by-step explanation:
A general exponential function is defined as
[tex]y=a(1+r)^x[/tex]
Where, a is initial value and r is growth rate.
The sales of company A is
[tex]y=340(1.03)^x[/tex]
It can be written as
[tex]y=340(1+0.03)^x[/tex]
Therefore the initial sales of company A is 340 and percent of increase is 3%.
The sales of company B is
[tex]y=275(0.89)^x[/tex]
It can be written as
[tex]y=275(1-0.11)^x[/tex]
Therefore the initial sales of company B is 275 and percent of increase is -0.11%. It means sales decrease by 11%.
The sales of company C is
[tex]y=180(1.23)^x[/tex]
It can be written as
[tex]y=180(1+0.23)^x[/tex]
Therefore the initial sales of company C is 180 and percent of increase is 23%.
The sales of company D is
[tex]y=260(1.90)^x[/tex]
It can be written as
[tex]y=260(1+0.90)^x[/tex]
Therefore the initial sales of company D is 260 and percent of increase is 90%.
We have to rank the company sales by smallest to largest percent of increase.
[tex]-11\%<3\%<23\%<90\%[/tex]
[tex]B<A<C<D[/tex]
Therefore the correct option is C.
