1. [-/1 Points] DETAILS HARMATHAP12 1.3.005.MI. MY NOTES ASK YOUR TEACHER Find the slope m of the line passing through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (24, 21) and (18, -3) m = Need Help? Read it Watch It Master It Submit Answer 2. [-/6 Points] DETAILS HARMATHAP12 1.3.035.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Write the equation of the line described. Through (3, 4) and (-1, -8) Click here to begin! Need Help? Read it Submit Answer 3. [-/2 Points] DETAILS HARMATHAP12 1.6.011.MI. MY NOTES ASK YOUR TEACHER A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. If 170 units sold results in $1360 profit and 220 units sold results in $4260 profit, write the profit function for this company. Find the marginal profit. Need Help? Read It Watch It Master It Submit Answer4. [-/3 Points] DETAILS ARMATHAP12 1.6.026. MY NOTES ASK YOUR TEACHER A company distributes college logo sweatshirts and sells them for $40 each. The total cost function is linear, and the total cost for 100 sweatshirts is $3402, whereas the total cost for 260 sweatshirts is $6122. (a) Write the equation for the revenue function R(x). R ( X ) = (b) Write the equation for the total cost function C(x). C ( x ) = (c) Find the break-even quantity. X = sweatshirts Need Help? Read It Watch It Submit Answer 5. [-/1 Points] DETAILS HARMATHAP12 1.6.036.MI. MY NOTES ASK YOUR TEACHER Suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,300 when the price is $3.77 each but that the demand is 3,900 when the price is $3.61 each. Assuming that the demand function is linear, write its equation. Use p for price (in dollars) and q for quantity. Need Help? Read It Watch It Master It Submit Answer 6. [-/1 Points] DETAILS HARMATHAP12 1.3.063. MY NOTES ASK YOUR TEACHER It has been estimated that a certain stream can support 76,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1200 fewer fish can be supported. Assuming that the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x. Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS HARMATHAP12 1.3.057. MY NOTES ASK YOUR TEACHER An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 9.31 cents per kilowatt-hour to its base charge of $16.32 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (Let y be measured in dollars.) Need Help? Read It Submit Answer8. [-/3 Points] DETAILS HARMATHAP12 1.3.055. MY NOTES ASK YOUR TEACHER Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions, can be modeled by N = 0.170x + 37.4 where x is the number of years after 2020. (a) Viewing N as a function of x, what is the slope m of the graph of this function? m = b) Interpret the slope as a rate of change. Every year, the population of females in the U.S., under age 18, in millions, is predicted to increase by m. The slope m represents the number of females in the U.S., under age 18, in millions, in year 2020. The slope m represents the number of females in the U.S., under age 18, in millions, in year 2060. Every m years, the population of females in the U.S., under age 18, in millions, is predicted to increase by 1. (c) What does the model predict the population of females under 18 (in millions) will be in 2030? million Need Help? Read It Submit Answer 9. [-/3 Points] DETAILS HARMATHAP12 1.6.031. MY NOTES ASK YOUR TEACHER The graphs of the demand function and supply function for a certain product, are given below. Use these graphs to answer the questions. P 600 600 400 400 Demand 200 200 Supply 200 400 600 800 A 200 400 600 800 (a) How many units q are demanded when the price p is $50? (b) How many units q are supplied when the price p is $50? 7 = (c) will there be a market surplus (more supplied) or shortage (more demanded) when p = $50? O surplus O shortage Need Help? Read it Submit Answer10. [-/6 Points] DETAILS HARMATHAP12 1.5.03 MY NOTES ASK YOUR TEACHER A concert promoter needs to make $58,500 from the sale of 1700 tickets. The promoter charges $30 for some tickets and $45 for the others. Let x represent the number of $30 tickets and y represent the number of $45 tickets. (a) Write an equation that states that the sum of the tickets sold is 1700. (b) Write an expression for how much money is received from the sale of $30 tickets? (c) Write an expression for how much money is received from the sale of $45 tickets? (d) Write an equation that states that the total amount received from the sale is $58,500. (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $58,500. x = Need Help? Read it Watch It Master It Submit Answer 11. [-/3 Points] DETAILS HARMATHAP12 1.6.033. MY NOTES ASK YOUR TEACHER If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p - 2q = 10, compare the quantity demanded and the quantity supplied when the price is $90. quantity demanded pairs of shoes quantity supplied pairs of shoes Will there be a surplus or shortfall at this price? There will be a surplus. O There will be a shortfall. Need Help? Read It Submit Answer12. [-/1 Points] DETAILS HARMATHAP 12 1.6.044.MI. MY NOTES ASK YOUR TEACHER Find the market equilibrium point for the following demand and supply functions. Demand: P = -2q + 298 Supply: P = 8q + 5 (q, P) = ( Need Help? Read It Watch It Master It Submit Answer 13. [-/1 Points] DETAILS HARMATHAP12 1.6.047. MY NOTES ASK YOUR TEACHER Find the equilibrium point for the following supply and demand functions. Demand: P = -3q + 190 Supply: p = 13q + 30 (q, P) = Need Help? Read It Submit Answer 14. [-/12 Points] DETAILS HARMATHAP12 1.6.050.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Stutz Department Store will buy 10 pairs of sunglasses if the price is $85 per pair and 30 pairs if the price is $35. The supplier of the sunglasses is willing to provide 35 pairs if the price is $90 per pair but only 5 pairs if the price is $30. Assuming that the supply and demand functions for the sunglasses are linear, find the market equilibrium point. Click here to begin ! Need Help? Read It Submit Answer15. [-/1 Points] DETAILS HARMATHAP12 1.6.048. MY NOTES ASK YOUR TEACHER Retailers will buy 35 Wi-fi routers from a wholesaler if the price is $10 each but only 20 if the price is $55. The wholesaler will supply 56 routers at $34 each and 70 at $50 each. Assuming that the supply and demand functions are linear, find the market equilibrium point. (q, P) = Need Help? Read It Submit Answer 16. [-/4 Points] DETAILS HARMATHAP12 1.3.049.MI. MY NOTES ASK YOUR TEACHER A $270,000 building is depreciated by its owner. The value y of the building after x months of use is y = 270,000 - 1500x. a) Graph this function for x 2 0. J J 400 000 400 000 400 000 400 000 300 000 300 000 300 000 300 000 200 000 200 000 200 000 200 000 100 000 100 000 100 000 100 000 O 50 100 150 200 AC 50 100 150 200 50 100 150 200 AC 50 100 150 200 (b) How long is it until the building is completely depreciated (its value is zero)? months (c) The point (70, 165,000) lies on the graph. Explain what this means. The point (70, 165,000) means that after months the value of the building will be $ Need Help? Read It Watch It Master It Submit