Select the correct answer from each drop-down menu.

An amusement park prices tickets at [tex]\$55[/tex] and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a [tex]\$2[/tex] increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.

Management uses the combined function [tex]P[/tex] to model the daily earnings of the amusement park, where [tex]x[/tex] is the number of [tex]\[tex]$2[/tex] increases in the price of a ticket.
\[
P(x) = -40x^2 - 100x + 27,500
\]

Use the given information to complete the sentences.

The constant of the polynomial expression represents the $[/tex]\square$ in the price of a ticket.

The binomial [tex](500 - 20x)[/tex] is a factor of the polynomial expression and represents the $\square$ in the price of a ticket.

Question

02-08-2024
Mathematics

Answered

Select the correct answer from each drop-down menu.

An amusement park prices tickets at [tex]\$55[/tex] and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing, that a [tex]\$2[/tex] increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.

Management uses the combined function [tex]P[/tex] to model the daily earnings of the amusement park, where [tex]x[/tex] is the number of [tex]\[tex]$2[/tex] increases in the price of a ticket.
\[
P(x) = -40x^2 - 100x + 27,500
\]

Use the given information to complete the sentences.

The constant of the polynomial expression represents the $[/tex]\square$ in the price of a ticket.

The binomial [tex](500 - 20x)[/tex] is a factor of the polynomial expression and represents the $\square$ in the price of a ticket.

Answer :

Other Questions

A.translation B.reflection C.dilation D.rotation

Decline in deaths from infectious diseases in the second half of the nineteenth century was mainly due to:a. Improvements in diet, housing, and public sanitatio

As Ms. Gregory is preparing her Social Studies lesson for next week, she notices that her students struggled with two words in The Gettysburg Address they are c

Which style of yoga deals more with breath movement, chanting, and meditation than the actual postures? A) Hatha Yoga B) Bikram Yoga C) Kundalini Yoga D) Ashta

A replicated chromosome consists ofa. Two identical sister chromatids.b. Two pieces of chromatin.c. Microtubules held together by chromatin.d. Two daughter chro

MERs for actively-managed Canadian bond funds tend to be about 1% lower than MERs for actively-managed Canadian equity funds. Question 7 options: 1) True 2) F

Solve for all variables

A triangle has side lengths measuring $ 20 \, \text{cm} $, $ 5 \, \text{cm} $, and $ n \, \text{cm} $. Which describes the possible values of $ n $?A. \

25. List the four major approaches to management and write short notes about them.5. In your own words, describe the six strategic management processes.

A happy, sociable child is more likely to engage others in social activities than a moody, shy child. This is an example of a(n) :a. Active genotype-environment

GinnyAnswer GinnyAnswer · Answer 1 · 2024-08-02T04:46:01-04:00

To solve the problem, we need to analyze the polynomial expression provided for the amusement park's daily earnings and determine what the constant term and one of the binomial factors represent.

Given polynomial:
[tex]\[ P(x) = -40x^2 - 100x + 27,500 \][/tex]

1. Constant Term Analysis:
- The constant term in the polynomial [tex]$ P(x) = -40x^2 - 100x + 27,500 $[/tex] is [tex]$ 27,500 $[/tex].
- This constant term represents the daily earnings of the amusement park when there is no change in the ticket price. In other words, it is the daily earnings when the ticket price is at its original value of [tex]$55. 2. Binomial Factor Analysis: - The binomial factor component that affects the earnings as price changes is given by $ (500 - 20x) $. - This binomial expression considers the number of tickets sold daily when the ticket price is increased by $ \$[/tex]2 $ increments. Specifically, for each [tex]$ \$2 $[/tex] increase in the price, 20 fewer tickets are sold.
- Therefore, this binomial factor [tex]$ (500 - 20x) $[/tex] represents the number of tickets sold per day considering the changes in the price of a ticket.

Thus, the correct answers to complete the sentences are:
- The constant of the polynomial expression represents the daily earnings when there is no change in the price of a ticket.
- The binomial [tex]$(500 - 20x)$[/tex] is a factor of the polynomial expression and represents the number of tickets sold per day considering changes in the price of a ticket.