2. The equation in Part B of Problem 1 is the product of 21 and the equation in Part A. What effectdid multiplying the equation by 21 have on the graph?3. Paige wants to start a summer lawn-mowing business. She comesup with the following profit function that relates the total profit tothe rate she charges for a lawn-mowing job:P(x) 5 2x2 1 40x 2 100Both profit and her rate are measured in dollars.A. Graph the function to help you answer the following questions.A table is given below to help you graph the function.x P(x) 5 2x 2 1 40x 2 1000481216202428323640© Mr. Master/Shutterstock.com

The manager of a furniture factory finds that it costs $2400 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.C = 0.25d+390 Sketch the graph. (b) What is the slope of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of operating the factory daily.It represents the cost (in dollars) of producing each additional chair.(c) What is the y-intercept of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of producing each additional chair.It represents the fixed daily cost (in dollars) of operating the factory. Viewing Saved Work Revert to Last Response17.[–/6 Points]DETAILSSESSCALC2 1.2.014.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERThe monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $505 to drive 460 mi and in June it cost her $565 to drive 700 mi.(a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model.C(d) = (b) Use part (a) to predict the cost of driving 1100 miles per month.$ (c) Draw the graph of the linear function. What does the slope represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the cost (in dollars) of driving.    It represents the cost (in dollars) per mile.It represents the distance (in miles) traveled.(d) What does the y-intercept represent?It represents the fixed cost (amount she pays even if she does not drive).It represents the distance (in miles) traveled.    It represents the cost (in dollars) of driving.It represents the cost (in dollars) per mile.(e) Why does a linear function give a suitable model in this situation?A linear function is suitable because the monthly cost increases as the number of miles driven decreases.A linear function is suitable because the monthly cost increases even if the miles driven is constant.    A linear function is suitable because the monthly cost is fixed despite the fact that the miles driven may vary.A linear function is suitable because the monthly cost increases as the number of miles driven

Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 83, 5, and 22. Let x represent the number of t-shirts.=+x=−x(b) Solve the equation in part (a) to find the number of t-shirts.=x

The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company:Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (2 points)Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (2 points)Part C: Describe the constraints of the domain. (2 points)

The revenue and cost functions, both in dollars, for the production and sale of x TVs are given as R(x) = 160x − 0.8x2 and C(x) = 3,240 + 15x, respectively.(a)Find the value(s) of x where the graph of R(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 100   (b)Find the profit function in terms of x. (Note: Profit is revenue minus costs.)P(x) = −.8x2+145x−3240 (c)Find the value(s) of x where the graph of P(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 7258​

Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it.      Time (months)Total cost (dollars)A first quadrant coordinate plane. The horizontal axis is from zero to twenty with a scale of five and is titled Time in months. The vertical axis is from zero to seven hundred with a scale of fifty and is titled Total cost in dollars. The graph of the line goes through the points zero, sixty, five, two hundred ten, and three hundred sixty. All values are estimated.What does the  -intercept represent in this context?Choose 1 answer:Choose 1 answer:(Choice A)   The number of months after which the total cost is   dollars.AThe number of months after which the total cost is   dollars.(Choice B, Checked)   The cost of buying the tabletBThe cost of buying the tablet