Use the diagram to answer the following questions. Part A: What is the length of segment CD in the diagram? Show your work.

A.4

B.6

C.3

D.5

Part B: What is the length of segment AB in the diagram? Show your work.

A.13

B.12

C.9

D.17

part a. the general formula for a value in exponential growth is given as:

a = ao (1 + r)^x

where r is the rate of growth of the function.

looking at the given equation, we can say that the price of product a after x years is increasing by a fraction of 0.03 or 3% per year.

part b. we can see that the increase in price is also exponential since the amount increase is not constant. therefore the equation must also be in the form of:

b = bo (1 + r)^x

we use the data in year 2 and 1 to find for the r:

10,201 = 10,100 (1 + r)^1

1 + r = 1.01

r = 0.01

since the growth rate of product b is only 0.01 or 1% per year, therefore product a has greater percentage change in price over the years which is 3% per year.