Question

The following table shows the expressions that represent the sales of 4 companies:

Answer 1

Answer: C. B, A, C, D

Step-by-step explanation:

We know that the exponential growth function is represented by :-

$A(1+r)^x$, where r is the growth rate.

The exponential decay function is represented by:-

$A(1-r)^x$, where r is the decay rate.

Now for Company A the sales function=$340(1.03)^x=340(1+0.03)^x$

⇒ It is a growth function with growth rate 0.03 or 3 %.

For Company B the sales function=$275(0.89)^x=275(1-0.11)^x$

⇒ It is a decay function with decay rate 0.11 or 11 %.

Similarly for Company C, there is growth rate of 0.23 or 23% and for Company D, there is growth rate of .90 or 90 %

Thus, the rank according to the sales by smallest to largest percent of increase will be B, A, C, D