10. The linear function f (x) = 2x + 10 models the amount, f (x), in billions of dollars, that the drug industry spent on marketing information about drugs to doctors x years after 2000 (Source IMS Health) (a) Find the slope of the given model. (b) Describe what this means as a rate of change.

Q: 8. Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is…

A: Given: Profit function Px=12x+6y-0.002x2-0.01y2To find: ∂P∂x at x=25 and y=30, which is the rate of…

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: Demand function is Revenue function is Now, cost function is Therefore, profit function is…

Q: A company is increasing production at the rate of 25 units per day. The daily demand function is…

A:

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A:

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: Suppose a manufacturer's revenue function is given by R(q)=−4q^2+600q R(q)=-4q2+600q , where…

A: Given that     A manufacturer's revenue function is given by        R(q) = -4q2 + 600q Where R(q) is…

Q: Suppose that the supply function for honey is p=​S(q)=0.2q+2.2​, where p is the price in dollars…

A: Given supply function P=S(q)=0.2q+2.2 →         1    equilibrium prize=$4.40→            2    So…

Q: 2. It is assumed that consumption C depends on income Y and that this relationship takes the form of…

A: We shall solve this question using only the basic knowledge of linear equations.

Q: suppose a vedio game manufacturer has the total cost function C(x)=15x+4200 and the total revenue…

A: The cost function is C(x)=15x+4200 and the total revenue function is R(x)=25x where x represent the…

Q: 6) Suppose you bought a used car for $14,000 a few years ago, and its value has been decreasing at…

A: You bought a car for $14,000 and its value has been decreasing at the rate of $1500 per year.

Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

A:

Q: A small college had 3548 students in 1998 and 4272 students in 2002. Let t = 0 be 1995 and get the…

A: Suppose that, the total enrolment in any year is represented by the general linear expression E=A+Bx…

Q: Suppose that f is a linear function with slope -3.6 and that f (2) = 8. What value of x gives f(x) =…

A:

Q: The federal tax code allows some items used for business purposes to be depreciated. That is, their…

A: Given that initial value of the van is $27,000 and it is decreasing $2100 in each year.

Q: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

A:

Q: A) the Y-intercept increases by 30 units for each unit increase in X B) that Y decreases by 30 units…

A: Y = 10 - 30X

Q: Approximately, what is the value of PG (present worth of arithmetic gradient) if G=55, n=12 years,…

A: "The cash flow series that either increases or decreases by a constant amount each period is known…

Q: A company is increasing the production of a product at the rate of 25 units per week. The demand and…

A:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: Given: Demand function is:  p=60-0.03x   Cost function is:  C(x)=4000+30x-0.04x2

Q: 3. Imagine you fill your bathtub up at a rate of 2 gallons per minute. This means that every minute…

A:

Q: snip

A: The average rate of change is the slope of the linear function or it can be said that it is the…

Q: Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given…

A: Let x represent the quantity of Peppermint Bark and y represent the quantity of Biscochitos. Given…

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

A:

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

A: Part a)Given:

Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and…

A: A company is increasing the production of a product at the rate of 20 units per week. The demand…

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per…

A:

Q: Suppose that x thousand units of a commodity can be sold weekly when the price is p dollars per unit…

A: So this is related rates. We already have an equation relating the desire quantities to the known…

Q: IF THE BEST FITTING LINE IS SLANTING UPWARD TO THE RIGHT, WHAT DOES IT IMPLY? CHOICES: IT MEANS…

A: In this case, the best fitting line is slanting upward to the right.

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

A:

Q: Is f(x) = 9 a linear function? o Yes, f(x) = 9 is a linear function. o No, f(x) = 9 is not a linear…

A: Change this function in the form of y=mx+c to find the solution.

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

A:

Q: Since the founding of the Equal Employment Opportunity Commission and the passage of equal-pay…

A: According to the given information it is required to find what percentage of men's wage were women’s…

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

A:

Q: (2) The number of women in the workforce, based on data and projections from 1950 to 2050, can be…

A:

Q: Suppose that y is decreasing at a rate of 4 units per 3-unit increase of x. What can we say about…

A: Regression analysis : Regression analysis is used to measures the association between two or more…

Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

A: Given Data: The consumption when income is $1 is: C1=$4.7 billion The equation of marginal…

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Given:

Q: 6. Create a linear function equation that has a rate of change of -3 and a solution at (5,2).

A:

Q: Suppose the percent of males who enrolled in college within 12 months of high school graduation is…

A: Given:         Percent of males enrolled in college is    y= -0.126x + 55.72         Percent of…

Q: What is the output when the input is 4 for a linear function that has a y-intercept of 5 and a rate…

A: Given information: The input of the linear function is 4. The y-intercept of 5 and the rate of…

Q: 2) What sets linear functions apart from all other equations and graphs is that the average rate of…

A: The objective is to interpret the AROC and slope of a linear function.

Q: Is f(x) = 5 a linear function? O Yes, f(x) = 5 is a linear function. O No, f(x) = 5 is not a linear…

A:

Q: A company is increasing the production of a product at the rate of 25 units per week. The demand and…

A:

Q: The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes…

A: Given,            C(q) = 4,500 + 200q2 where q is the reduction in emissions.

Q: We can use a linear function to describe air leaking from a balloon, but this is not, in fact, an…

A:

Q: Consumers will demand 1005 items at a price of $2.25/item. When the price per item increases to $3,…

A:

Q: For the years​ 1970-2006, the percent of females in the workforce is given by y=10.956+8.280lnx​,…

A: In the question we have to find correct values for the model.

Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x3 +…

A: Given,          The total cost in dollars from the production of x printers is given by…

Q: Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain…

A: Given demand equation, 4p³+x²= 4100 x=10 p=10 dp/dt=- $ .20/week Differentiating w.r.t to t we have,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.