A leaf blower manufacturer has a weekly production cost that can be modeled by the equation C=0.5x^2+25x+130 where C is the total cost ( in dollars) for that week and x is the number of leaf blowers produced that week. What is the average rate of change in the cost per unit as the manufacturer increases their weekly production from 80 to 100 units

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: What is an equation of the line that passes through the points (1,2) and (2,−1)? Put your answer in…

A:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Given query is to find the rate of change of area.

Q: Suppose you have entered a 68​-mile biathlon that consists of a run and a bicycle race. During your​…

A:

Q: The​ price-demand equation for hamburgers at a fast food restaurant is given by the equation below.…

A: Given that x+60p=3500 We have to find affected revenue.

Q: Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by…

A: Rate of change of x

Q: A company selling widgets has found that the number of items sold r depends upon the pricepat 30000…

A:

Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

A:

Q: A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each…

A:

Q: A hot air balloon is hovering 84 meters above the ground and begins to ascend at a rate of 9 meters…

A:

Q: The average pulse rate (bpm) of a person with height h (in inches) is given by 432 B(h) = where 30 <…

A:

Q: A company pays $24 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A:

Q: Suppose that the shock wave from a meteor impact is a circle whose radius expands at 400 meters per…

A: Given  Radius expands at 400 meters per second i.e. drdt=400m/s

Q: suppose you have entered 43 mile biathalon that consists of a run and a bicycle race.  During your…

A:

Q: What is an equation of the line that passes through the points (0, –5) and (–6,0)? Put your answer…

A: We have to write an equation of the line that passes through the points (0,-5) and (-6,0).

Q: The average births per woman in a certain developing country can be modeled according to the…

A:

Q: In 1990, tests showed that water in a lake was polluted with 7 milligrams of mercury compounds per…

A: Given, The rate of change in mercury compound per year is drop by 0.75 milligrams per 1000 liters.…

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A:

Q: The captain of a fishing boat needs to travel 25 miles on his boat. If the captain goes the same…

A:

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

Q: The value of the average home in some neighborhood in the state of Florida was $185,000 and has…

A:

Q: A small newspaper company is downsizing and has lost employees at a steady rate. Twelve months ago…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

Q: A manufacturing company found that the demand for its product varies inversely as the price of the…

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

Q: For the years​ 1970-2006, the percent of females in the workforce is given by y=10.273+8.160lnx​,…

A:

Q: Find the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution

Q: Suppose you have entered a 42-mile biathlon that consists of a run and a bicycle race. During your…

A:

Q: At a unit price of $710, the quantity demanded of a certain commodity is 74 pounds. If the unit…

A: For the given condition, the demand decreases with the increase in unit price.At initial stage, unit…

Q: A company pays $30 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A: Payment for per hour = $ 30 Total hours = 8

Q: A worker in a factory is preparing crates of strawberries for a delivery to a customer. At the…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=…

A:

Q: Your friend has a poster printed from a photograph that is 6 inches wide by 10 inches long. The…

A: Question, 1,Given,          Your friend has a poster printed from a photograph that is 6 inches wide…

Q: The equation of the line with slope 22 through the point (0,55) can be written in the form y=mx+b…

A:

Q: The value of a piece of machinery depreciates linearly until it has been reduced to a value of zero.…

A:

Q: uppose a stereo receiver manufacturer has the total cost function C(x) = 210x + 3300 and the total…

A:

Q: From the early 1980's through 2012，the number of adults enrolled in Bachelor's Degree programs has…

A:

Q: The weight of a can of soup is jointly proportional to its height and to the square of its diameter.…

A: Given according to question

Q: Suppose the number of inches a plant grows each day is linearly related to the hours the plant is…

A: Given that, The number of inches a plant grows each day is linearly related to the hours the plant…

Q: What is an equation of the line that passes through the points (3,4) and (1,−2)? Put your answer in…

A: We know that the equation of line passing through the point (x1,y1) and x2,y2 is given by…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: x is the number of units produced and sold. The Profit function is given by P = 150x − x^2/500−…

Q: A company pays $20 per hour for up to 8 hours of work. What is the equation for total pay (y) for…

A: Given company pays $ 20 per hour .

Q: Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given…

A: given: suppose that an object is dropped from a height h. Its velocity v at impact with the ground…

Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: ntomologists have discovered that a linear relationship exists between the rate of chirping of…

A: Part AWhen the temperature is 60°F, the crickets chirp at the rate of 145 chirps/min, and when the…

Q: if a horizontal line has the equation f(x)=h and a vertical line has the equation x=h what is the…

A:

Q: The variable costs on a new product will be $60 per unit and the fixed costs are estimated to be…

A: Consider the provide question, The break-even formula is given by, Let S = Selling price v =…

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =…

A:

Q: The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350…

A: The given problem is solved below in detail.

Q: A company selling widgets has found that the number of items sold z depends upon the price p at…

A: A company selling widgets has found that the number of items sold x depends upon the price p at…

Q: The relation between the cost of a diamond and its weight is linear. In looking at two diamonds, we…

A: Price of 0.7 carats = $3340 Price of 0.80carats = $4065 Weight is Independent variable. We want to…

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.