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A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $6, and the society sells an average of 24 feeders per week at a price of $10 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses two sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x represent the number of dollars the price is increased.) P(x) = (b) What ticket price is so high that no profit is generated? $ (c) The society needs to make a weekly profit of $110 to cover the expenses of their nature center. What price should the society charge per feeder to meet this goal? $ (smaller value) (larger value) $

A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $6, and the society sells an average of 24 feeders per week at a price of $10 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses two sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x represent the number of dollars the price is increased.) P(x) = (b) What ticket price is so high that no profit is generated? $ (c) The society needs to make a weekly profit of $110 to cover the expenses of their nature center. What price should the society charge per feeder to meet this goal? $ (smaller value) (larger value) $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 56PFA
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A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $6, and the society sells an average of 24 feeders per week at a price of $10 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses two sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x represent the number of dollars the price is increased.) P(x) = (b) What ticket price is so high that no profit is generated? $ (c) The society needs to make a weekly profit of $110 to cover the expenses of their nature center. What price should the society charge per feeder to meet this goal? $ (smaller value) (larger value) $
Transcribed Image Text:A community bird-watching society makes and sells simple bird feeders to raise money for its conservation activities. The materials for each feeder cost $6, and the society sells an average of 24 feeders per week at a price of $10 each. The society has been considering raising the price, so it conducts a survey and finds that for every dollar increase, it loses two sales per week. (a) Find a function P that models weekly profit in terms of price per feeder. (Let x represent the number of dollars the price is increased.) P(x) = (b) What ticket price is so high that no profit is generated? $ (c) The society needs to make a weekly profit of $110 to cover the expenses of their nature center. What price should the society charge per feeder to meet this goal? $ (smaller value) (larger value) $
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