The average price of a ticket to a baseball game can be approximated byp(x) = 0.03x + 0.42x+ 8.61, where x is the number of years after 1991 and p(x) is in dollars.a) Find p(4).b) Find p(14).p(14)- p(4)c) Find p(14)-p(4).d) Findand interpret this result.14 -4a) Find p(4).(Simplify your answer.)b) Find p(14).(Simplify your answer.)c) Find p(14)- p(4).(Simplify your answer.)p(14)– p(4)d) Find14-4(Simplify your answer.)Interpret the result.A. It represents the average price difference of a baseball ticket from 1995 to 2005.B. The result tells us that the price of a baseball ticket in 2006 is more than in 2005.C. It represents the average rate of change in price from 1995 to 2005.O D. It represents the price increase of baseball tickets between 1995 and 2005.Click to select your answer(s).javascript:doExercise(9);Dro

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Description: The average price of a ticket to a baseball game can be approximated byp(x) = 0.03x + 0.42x+ 8.61, where x is the number of years after 1991 and p(x) is in dollars.a) Find p(4).b) Find p(14).p(14)- p(4)c) Find p(14)-p(4).d) Findand interpret this re

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 5CYU

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The average price of a ticket to a baseball game can be approximated by
p(x) = 0.03x + 0.42x+ 8.61, where x is the number of years after 1991 and p(x) is in dollars.
a) Find p(4).
b) Find p(14).
p(14)- p(4)
c) Find p(14)-p(4).
d) Find
and interpret this result.
14 -4
a) Find p(4).
(Simplify your answer.)
b) Find p(14).
(Simplify your answer.)
c) Find p(14)- p(4).
(Simplify your answer.)
p(14)– p(4)
d) Find
14-4
(Simplify your answer.)
Interpret the result.
A. It represents the average price difference of a baseball ticket from 1995 to 2005.
B. The result tells us that the price of a baseball ticket in 2006 is more than in 2005.
C. It represents the average rate of change in price from 1995 to 2005.
O D. It represents the price increase of baseball tickets between 1995 and 2005.
Click to select your answer(s).
javascript:doExercise(9);
Dro

Expert Solution

Step 1 Ticket price in 1995 and 2005

It is given that, $p (x) = 0.03 x^{2} + 0.42 x + 8.61$

here p(x) is ticket price in dollars and x is no. of years after 1991.

Therefore,

PART (a). It is given that, x=4. Therefore,

$p (4) = 0.03 \times 4^{2} + 0.42 \times 4 + 8.61 \Rightarrow p (4) = $ 10.77$

so according to this average price of a ticket to a baseball game in 1995 will be $10.77.

PART (b). It is given that, x=14. Therefore,

$p (14) = 0.03 \times 14^{2} + 0.42 \times 14 + 8.61 \Rightarrow p (14) = $ 20.37$

so according to this average price of a ticket to a baseball game in 2005 will be $20.37.

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