2. Jane and Jorge want to rent a hall for their wedding. The hall charges amaintenance fee of $300 and a cost of $25 per plate for supper. Write anequation to model this situation.SolutionA one-time maintenance fee of $300 is charged. This is a fixed cost becauseit must be paid regardless of the number of people who attend. The cost perplate is the number we will multiple our variable by.Equation is C = 25n + 300Cost per Person(rate per item)Maintenance Fee(fixed amount)Practice :Let T dollars represent the total cost, and let d days represent the rentaltime. Write an equation to model each situation.(a) A rental agency charges$45/day for a mid-size car.(b) A room at a hotel costs$126/day.(c) A candy floss machine canbe rented for $90/day.(d) An arena charges $100 plus$85/day.(e) A chalet can be rented for$170 plus $320/day.(f) A video can be rented for a $2fee plus $3/day.

Note: We shall only answer up to first three sub-parts as the exact one is not specified. Please…

Practice : Let T dollars represent the total cost, and let d days represent the rental time. Write an equation to model each situation. (a) A rental agency charges $45/day for a mid-size car. | (b) A room at a hotel costs $126/day. (c) A candy floss machine can be rented for $90/day. (d) An arena charges $100 plus $85/day.

Practice : Let T dollars represent the total cost, and let d days represent the rental time. Write an equation to model each situation. (a) A rental agency charges $45/day for a mid-size car. | (b) A room at a hotel costs $126/day. (c) A candy floss machine can be rented for $90/day. (d) An arena charges $100 plus $85/day.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Car payments are determined using simple interest. To finance your vehicle purchase you have two…

Q: 4) Value Rent-A Car rents a luxury car at a daily rate of $43.78 plus $0.04 per mile. a) Write an…

Q: While on vacation your family decides to rent a canoe. The cost of the rental is a deposit of $10…

A: Consider a family which decides to rent a canoe. The rental cost of the canoe is a deposit of $10…

Q: The cost of two kg of apples and 1 kg of grapes on a day was found to be Rs. 160. After a month the…

A: Assume that, the price of apple per kg is x and the price of grapes per kg is y.From the given…

Q: savings account with a balance of $175 and deposits $20 per month. How many months will it take 12.…

Q: The demand equation for your company's virtual reality video headsets is p = amounts to $110 per…

A: As given in question, Demand equation, Where q is the total number of headsets that your company can…

Q: You are the CEO for a lightweight tablet manufacturer. The demand function for the lightweight…

A: Given: Demand function q(x)=40-4x2, where x is the number of lightweight tablets produced in…

Q: Write a linear equation in Point-Slope form to model the situation: Google charges $99.95 per month…

A: To write a linear equation in Point-Slope form to model the following situation: Google charges…

Q: Panchitos Gym charges a one time registration fee of $40 and $20 each month. The total fee after x…

Q: You have decided to get in shape and are about to sign up for a new gym membership Fitness Planet…

Q: I have a bicycle and the fixed cost for the production is $24000.00 The variable cost will be $18…

A: Variable cost =$18 Fixed cost=24000 Assume x bicycles are sold.

Q: In Phoenix, rental of a U-Haul 24-foot moving truck for 6 hours costs $39.95 plus $0.56 per mile.…

A: Consider the given question,(a)Let x represent the number of miles driven.Given 24-foot moving truck…

Q: Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party…

Q: $280 for a party of 5, cost per plate is $15, write an equation that models the cost of a dinner.

A: The cost per plate is given as $15 and the total production cost is $280 for the party of 5.The cost…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

2. Jane and Jorge want to rent a hall for their wedding. The hall charges a
maintenance fee of $300 and a cost of $25 per plate for supper. Write an
equation to model this situation.
Solution
A one-time maintenance fee of $300 is charged. This is a fixed cost because
it must be paid regardless of the number of people who attend. The cost per
plate is the number we will multiple our variable by.
Equation is C = 25n + 300
Cost per Person
(rate per item)
Maintenance Fee
(fixed amount)
Practice :
Let T dollars represent the total cost, and let d days represent the rental
time. Write an equation to model each situation.
(a) A rental agency charges
$45/day for a mid-size car.
(b) A room at a hotel costs
$126/day.
(c) A candy floss machine can
be rented for $90/day.
(d) An arena charges $100 plus
$85/day.
(e) A chalet can be rented for
$170 plus $320/day.
(f) A video can be rented for a $2
fee plus $3/day.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Debra bought 6 extension cords and 9 axes for $123. Carry bought 6 extension cords and 1 axe for $67. Let x represent the price of each extension cord and y represent price of each axe. Write a cost equation for both Debra and Carry.
2. In 2012, the campus print center purchased a multi-function printer/copier for $12600, and a high capacity printer for $11000. The resale value of the multi-function machine is decreasing by $1800 per year and the resale value of the high capacity machine is decreasing by $1000 per year. a. Write an equation that gives the resale value, y, ofthe b. Write an equation that gives the resale value, y, of the multi-function machine x years after 2012. high capacity machine x years after 2012. c. Use your equations to determine the year in which the resale values of the two machines will be equal.
It costs a publishing company $60,001 in fixed costs and it costs $4.20 per book to produce them. The publisher sells the books for $10 each. What are the revenue and cost functions? Find and interpret the break-even point.
The owner of an apartment building has 100 apartments. He has found that if he charges $500 per month he can rent all 100 of them but he rents one fewer apartment for each $25 increase in monthly rent. a. Write an equation that gives the monthly revenue from the rental of the apartments if he makes x increases of $25 in the rent. b. Find the rent he should charge to maximize the monthly revenue and the number of apartments he will rent by charging this amount. c. Suppose the landlord pays for water, sewer, and electricity at his apartments for a cost of $50 per apartment per month. Write an equation that gives the monthly cost to the landlord after x price increases of $25. d. Write an equation that gives the monthly profit the landlord makes, and the rent he should charge to maximize his monthly profit, and the number of apartments he will rent by charging this amount. e. Explain why you know mathematically your solutions to (2) and (4) are maximum values. f. In a sentence or two…
The demand equation for a French press (a type of coffee maker) is given by P = 0.5Q2 - 35Q + 210, where Q is the number of units demanded per month and P is the price per unit. Find the demand when the price is $30.
Callie has to spend at least $10 dollars on a bracelet for her best friend's birthday present. The bracelet costs $4 dollars and each charm costs $2. Which graph shows the number of charms Callie has to get on the bracelet for it to cost at least $10 dollars? 2343 D. ©2021 Iluminate EducationTM, Inc.
The zoo offers special admission rates for large groups of visitors. The zoo charges $7.50 for the group and $5.50 for each visitor in the group. Write an equation for the total cost of admission in terms of the number of visitors. (Define your variables.) How much is admission for a group of 6 visitors?