2. A toy company finds there is a linear relationship between p, the price they charge for a playgroundball, and n(p), the number of balls they sell during a year. When they charge $3, they sell 8000 ballsduring the year. However, sales drop to 5200 balls when they charge $5 each.a. Write an equation for the linear function n(p).b. Use your function to determine the number of balls they can expect to sell during the year ifthey charge $6.50 for a ball.

Answered: Image /qna-images/answer/81c28edf-d63f-4435-84eb-c5548d8e5fc7.jpg

Answered: 2. A toy company finds there is a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

The price of a new item is $800. After 4 years, the price increased to $1200. Assume the price increases linearly. Let Prepresents the price function at any time x years. (a) Find a linear function P- ax + b. 26 (b) Use the linear function P to find the price after 10 years.
The Value of Pearl's computer (in dollars) after X months is given in the table. Months 6 8 Value($) 900 750 Find a linear function that gives the value V(x) of the computer after X months. After how many months will the computer be worth nothing?
The owner of a local hair salon is planning to raise the price for a haircut and blow dry. The current rate is $30 for this service, with the salon averaging 550 clients a month. A survey indicates that the salon will lose 5 clients for every incremenetal price increase of $2.50. a. Write an equation to model the salon’s monthly revenue, R, in dollars, as a function of x, where x represents the number of $2.50 increases in price. b. Use the product rule to determine R’(x). c. Solve for R’(x) = 0.
Example 2: Kevin wants to run a lemonade stand and his total budget is $20. He has to purchase lemons and sugar to make the lemonade. At Walmart, sugar is $2.00 per bag and each lemon is 50 cents. a. Define each variable. b. Write a linear function that represents Kevin's lemonade stand expense. c. Graph the function that represents the scenario. Your Turn 61°F Sunny
help me find the linear function
Members of a local band hold a bake sale to raise money. They sell their baked goods on blue and white paper plates. Each blue plate costs $5 and each white plate costs $3. The band raises $430 from their bake sale. Elise wants to sketch a graph of the linear function that relates the possible number of blue plates sold, x, to the possible number of white plates sold, y. Which THREE statements are TRUE regarding the graph that Elise will sketch? A) The graph will not have an x-intercept. B) The graph will decrease over its entire domain. C) The graph will show only x- and y-values that are positive. D) The graph will have an x-intercept of 86, the maximum possible number of blue plates sold. E) The graph will have a y-intercept of 143, the maximum possible number of white plates sold. F) The graph will show that as the number of white plates sold increases, so will the number of blue plates sold.
7. Sky Launch Trampoline Park charges Customers $9.50 per hour they spend jumping. Each customer must also pay $2.50 for grip socks. Write an equation in slope-intercept form to represent this linear function. Derrick spent $31 at Sky Launch Trampoline Park on Sunday. How many hours did he jump?
The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars. Write a linear function that represents the manager’s total pay, P (in dollars), as function of x. Part A: P(x)= Part B: What value of x will result in the manager earning $16000 for a single show? ROUND TO THE NEAREST INTEGER

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