A caterer offers a package that feeds up to 50 people for $1,500 and adds an additional charge of $24.75 for each additional person. Enter a linear model that represents the total amount charged a host, t, as a function of g, the number of additional guests.

Q: n 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

A: In 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $10 the…

A: Total spectator's in stadium=46000 When ticket price is $10, attendees are 19000 When ticket price…

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $11 the…

A: Total seats in a stadium =70000 When ticket price is $11 , spectators =28000 When ticket price is $9…

Q: A baseball team plays in a stadium that holds 48000 spectators. With the ticket price at $10 the…

A: The stadium holds 48000 spectators. For the average attendance of 19000 the price of the ticket is…

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Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: The credit is a linear function of calling time.  After 20 minutes of call, remaining credit is…

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $12 the…

A: Given: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $12,…

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $10 the…

A: Let the price of ticket be: $ p  Let the attendance be: q When price is $10 than attendance is 24000…

Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.

Q: (b) Make a linear model for the data. f(x) = %D

A: Consider the following data  x 3 3.2 3.4 3.6 f 6.0 5.6 5.2 4.8 To make a linear model of the…

Q: To rent office space at Building A, you must pay a one-time fee of $1000 and pay rent of $800 per…

A:

Q: A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the…

A: x=price y=number of spectators . two points are the slope of the line is given by

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: A mobile phone provider charges $3.75 plus $0.15 per minute for overseas calls. Write a linear model…

A: Cost of overseas calls = $ 3.75  +  $0.15 per minute We need to write a linear model that shows cost…

Q: You buy a new car for $25,000 and 2 years later, the car is valued at $17,500. Assuming that the…

A: Let us consider that after t years the car is worth C(t). Since the depreciation is linear, let C(t)…

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $11 the…

A: Here I am attaching image so that you understand each and every step.

Q: Which linear function relates the total cost of renting a truck in dollars, C, to the number of…

A: here we take the information from the graph and the equation will be solution if satisfy the…

Q: A car rental company charges its customers p dollars per day to rent a car, where 35≤p≤175. The…

A:

Q: An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a…

A: Given that  An HVAC technician charges a flat fee of $99 and an additional $50 per hours. To Express…

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $10 the…

A:

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $12 the…

A: x=price  y=number of tickets two points are

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11 the…

A:

Q: A salseclerk makes a base salary of $600 per week plus 15% commission on sales. Write a linear…

A: Given: Base salary of a week:  $60015%  commission on total weekly sale.

Q: Jason has a baby daughter. When she was first born, she was 19 inches long, and she grows 3/4 of an…

A: Her height when she was born = 19 inches. She grows = 3/4 inches per month. Her height grows in a…

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

Q: 6. In 2001 the average annual tuition and fees for attending a private college was $16,50C cost rose…

A: Since part b statement is incomplete i do first part as per our company guidelines please repost…

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A:

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $12 the…

A:

Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $8 the…

A: let x be ticket price and  y be the number of spectators  and we know that attendance is linearly…

Q: A house purchased for $250,000 in 2010 increases in value by $10,500 each year. a. Express the value…

A: Explained below

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A:

Q: salesman at a furniture store that is costs $4400 to produce 10 tables and $9600 to produce 300…

A:

Q: the operating expesnes of amazon increased from 3.6 billion in 2008 to 16.3 billion in 2012. use the…

A: Given that The operating expenses of amazon increased from 3.6 billion in 2008 to 16.3 billion in…

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A: For x = 100 chairs, cost = $ 2200  For x = 300 chairs, cost = $ 4400    Hence, equation of this…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Credit Remaining after 40 minutes call is 14.80$ Credit Remaining after 79 minutes call is 9.73$ we…

Q: *A $100,000 life insurance policy for males aged 25 costs $7.80. For males aged 41, the policy costs…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Slope of  a line is constant all the way along it. So slope of a line can be calculated using any…

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $11 the…

A: Given, Ticket price $11 the average attendance has been 19000. Ticket price $8 the average…

Q: The profit earned by selling soap at a craft show can be modeled by the graph of the linear function…

A: The formula for the rate of change is given by y2-y1x2-x1. From the given graph, observe that the…

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $10 the…

A: Given, Attendance is linearly related to ticket price. For $10/ticket attendance is 25000. For…

Q: Bill has just been offered a sales position for a computer company. His salary would be $25,000 per…

A: Part (a) -Salary of Bill per year = 25000 $Salary of Bill for 1 sale = 1% of 1Salary of Bill for x…

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $10 the…

A: Let px be the price when x tickets are sold. Now given that with the ticket price at $10 the average…

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.