The average price of a ticket to a baseball game can be approximated by p(x)equals0.03 x squared plus 0.42 x plus 9.63, where x is the number of years after 1991 and p(x) is in dollars. a) Find p(3). b) Find p(13). c) Find p(13)minusp(3). d) Find StartFraction p (13 )minus p (3 )Over 13 minus 3 EndFraction , and interpret this result.

a) We want to find and if we replace x=3 into p(x) we got:

b) We want to find and if we replace x=13 into p(x) we got:

c)

d)  

If we use the result from part c we have:

And the interpretation for this case would be:

It represents the average rate of change in price from 1996 to 2006.

Step-by-step explanation:

For this case we have the following function given:

Part a

We want to find and if we replace x=3 into p(x) we got:

Part b

We want to find and if we replace x=13 into p(x) we got:

Part c

For this case we want to find and we have from the results of part a and b this:

Part d

For this case we want to find:

If we use the result from part c we have:

And the interpretation for this case would be:

It represents the average rate of change in price from 1996 to 2006.

215.92 dollars is the answer