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.

Q: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

A: Initial amount of water in the tank=450-gallon Amount of water draining per minute=20-gallons 1)…

Q: Raelynn runs a sporting goods store where she sells kayaks. She knows from past experience that her…

A: Given that the demand equation is P=-2x+40 She sells x kayaks.  So the revenue…

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A:

Q: Keith purchases a cell phone plan, which includes a cell phone and cell phone service. He makes a…

A: Keith makes deposit of $100 for the cell phone and then pays $45 per month for the cell phone…

Q: A company manufactures and sells x television sets per month. The monthly cost and price- demand…

A: We use use maximum revenue formula which is base on profit

Q: How do you solve a set of linear equations with Excel?

A: This example shows you how to solve a system of linear equations in Excel. For example, we have the…

Q: A hardware store charges a $30 rental fee and $15 per day to rent a power washer. Which equation…

A: Given, Fixed rental fee for power washer = $ 30  Per day rent for a power washer = $ 15  Total cost…

Q: A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture…

A:

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Given data is : Cx=500+200x and Rx=450x-1100x2   To find the value of x for which form has maximum…

Q: Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by…

A: Given datay=1.5x+7.9Where x represents the number of tears since 2000and y represents the number of…

Q: An ice cream company varies the prices of its pint containers to maximize profit. The equation P (x)…

A: Use second derivative test for finding extreme points.

Q: You are to create an open box from a single piece of cardboard.  The cardboard is 10 inches by 12…

A: Length of cardboard is L = 12 inches  Width of cardboard = W = 10 inches    If we cut the equal…

Q: 2. The owners of an apartment on AirBnB charge renters a flat fee for cleaning costs at the end of…

A: It is given that the cost of a five night stay is Ƶ750 and the cost of an eight night stay is Ƶ1110.…

Q: Write an equation that models this situation.A market fills each of 20 containers with 3 pounds of…

A: As each container is filled with 3 pounds of grapes. Therefore 20 containers with 3 pounds in each…

Q: Andre's school orders some new supplies for the chemistry lab. The online store shows a pack of 10…

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Q: The admission fee at a small fair is $1.50 for children and $4 for adults. On a certain day, $5,050…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Formulate one real-life math word problem involving writing equations of a line, cite an example…

A: We need to formulate math word problem of daily internet usage.

Q: In the revenue equation R -360p+28,800p, what is the price that should be set that leads to the…

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Q: RECEPTION The Jones family is planning a dinner reception. The local country club charges $560 for…

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Q: A travel company charges $110 for insurance and $45 a day to rent a trailer. Let x represent  the…

A: Solution: Let x represent the number of days and y represents the total cost of renting a trailer.

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

A:

Q: 1. Write an equation to represent the situation. Brand A scooter has a top speed that goes 2 miles…

A: Given: Brand A scooter has a top speed that goes 2 miles per hour faster than Brand B. If after 3…

Q: Marcia makes jewelry to sell at the artists' fair. She spends $120 to rent a stall at the fair for…

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Q: Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Write and solve an…

A: Solution:-

Q: Write an equation for the quadratic graphed below x-intercepts: (-1,0) and (4,0). y-intercept: (0,3)…

A: Let the quadratic equation is in the form : y = ax 2 + b x + c Here a , b and c are constant .

Q: C Cle Ap M Inb Mic Mic student masteryconnect.com The table of values shows the number of minutes…

A:

Q: With a full tank of gas, you can drive 470 miles and your car can go 25 miles per gallon. Write an…

A: Calculate slope of equation of model by using driving capacity on full tank and distance can be…

Q: Read the following word problem, then choose which linear equation models the problem. A penguin…

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Q: Kara's Custom Tees experienced fixed costs of $200 and variable costs of $5 a shirt, Write an…

A: Fixed cost = $200 Variable cost = $5 per shirt.

Q: A person goes to a high school football game. They purchase 1 tickets to the game and snacks at the…

A: A person goes to a high school football game.The tickets purchased is t and snacks purchased is sThe…

Q: The​ price-demand equation for an order of fries at a fast food restaurant is given by the equation…

A: The​ price-demand equation for an order of fries at a fast-food restaurant is,…

Q: The value of business furniture is assumed to depreciate (decrease) in value linearly. If the value…

A:

Q: David runs a printing and typing service business. The rate for services is K32 per hour plus a…

A: Total cost = one-time charge + charge per hour

Q: Solve    y = x - 1   Using graphing, elimination and substitution

A: Solution: Here  y=x-1

Q: The scatterplot below shows the relationship between the length of an overseas phone call and the…

A: Given the scatterplot showing the relationship between the length of an overseas phone call and the…

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…

Q: Write an equation has y-intercept -4 and x-intercept 3.

A: If the equation of a line is of the form - xa+yb = 1Then,x-intercept = a, 0y-intercept = 0, b

Q: Amazon offers a Prime Memebership for $79 per year , which qualifies a buyer for a reduced shipping…

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Q: After a hurricane, repairs to a roof will cost $2100 for materials and $60/hr in labor. The model…

A: Given that, after a hurricane, repairs to a roof will cost $2100 for materials and $60/hr in labor.

Q: With a full tank of gas, you can drive 495 miles and your car can go 12 miles per gallon. Write an…

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Q: The cost of a car including tax is $26,521.25. If the tax rate is 8.25%, how much was the car before…

A: Cost of car including tax = $26521.25 Tax rate = 8.25% of original cost of car

Q: Since 2009, the number of analog theater screen has been on the decline in a country. The number of…

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Q: A tuxedo rental service charges a $150 flat fee for a suit plus $50 per additional day. Which…

A: The y – intercept of this equation would be the flat fee of 150 and the slope would be the daily…

Q: Hit The Mark! Direction: Analyze and solve the problem. 1. A company of cellular phones can sell 200…

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Q: bakery

A: We will find the equation and then find for how many hours the shop has been open

Q: The scatterplot below shows the relationship between the length of an overseas phone call and the…

A: Given the scatterplot showing the relationship between the length of an overseas phone call and the…

Q: On a bicycle, Marissa rides for 4 hours and is 44 miles from her house. After riding for 11 hours,…

A: On a bicycle,Marissa rides for 4 hrs and is 44 miles from her house.After riding for 11 hrs,she is…

Q: To solve a linear equation, use the ________ and ________ properties of equality to_______ the…

A: To solve a linear equation, use the Subtraction and Addition properties of equality to isolating the…

Q: Keith purchases a cell phone plan, which includes a cell phone and cell phone service. He makes a…

A:

Q: A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of…

A: Weight of the ceramic bowl = 340 gramsWeight of one tablespoon of sugar = 12.5 grams1.Total weight…

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.