Question

The average price of a ticket to a baseball game can be approximated by p(x) = 0.03 x2 + 0.47 x + 8.33, where x is the number of years after 1991 and p(x) is in dollars. Find p(4). Find p(14). Find p( 14) - p(4). Find p( 14) - p(4)/14-4, and interpret this result Find p(4). (Simplify your answer.) Find p(14). (Simplify your answer.) Find p(14) - p(4).

Answer 1

Answer:

p(4) = $10.69

p(14) = $20.79

p(14) - p(4) = $10.10

p( 14) - p(4)/14-4, and interpret this result

$1.01 This means that during this interval of 10 years, ticket prices increased, on average, $1.01 a year.

Step-by-step explanation:

The average ticket price for a baseball game, in p years after 1991, can be modeled by the following equation:

$p(x) = 0.03x^{2} + 0.47x + 8.33$

Find p(4).

$p(4) = 0.03*4^{2} + 0.47*4 + 8.33 = 10.69$

Find p(14).

$p(4) = 0.03*14^{2} + 0.47*14 + 8.33 = 20.79$

Find p( 14) - p(4).

20.79 - 10.69 = 10.10

Find p( 14) - p(4)/14-4, and interpret this result.

10.10/10 = 1.01.

This is the yearly average rate that the ticket price changed during this interval. This means that during this interval of 10 years, ticket prices increased, on average, $1.01 a year.