Online jewelry sales have increased steadily. In 2003, sales were approximately 2 billion dollars, and in 2013 they were approximately 5.64 billion. Construct a model to predict online jewelery sales. Use your model, to find the predicted online jewelry sales for 2015?

The predicted sales are 7.46 billion dollars

Step-by-step explanation:

Function Modeling

We are given two points that represent the Online jewelry sales. The two points are ( 2003 , 2 ) and ( 2013 , 5.64 ). The second coordinate is expressed in billion dollars. To better represent the function, let's count the time not in absolute years, but in years after 2003. The points now are ( 0 , 2 ) and ( 10 , 5.64 ).

The function to represent the sales (S) will be a line, which general equation is

Plugging in the points

Operating and rearranging

Now we use the model to predict the online sales for 2015, or t=15

The predicted sales are 7.46 billion dollars

none cuz there are no "following statements" regarding the question

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: