1. [-/1 Points] DETAILS LCALCCON5 3.4.037. The sales of Sherwin-williams paint in different regional markets depends on several input variables. One variable that partially drives selling price, which in turn affects sales, is the cost to get the product to market. When other input variables are held constant, sales can be modeled as s(x) = 597.3(0.9214x + 12) thousand gallons ists x dollars to get a gallon of paint to market, data from 0 S x s 2.+ (a) How many gallons of paint are sold when it costs 15 cents for a gallon to reach the market? (Round your answer to three decimal places.) |thousand gallons (b) How quickly are sales changing when x = 0.15? (Round your answer to three decimal places.) thousand gallons per dollar Need Help? Read Is 2. [-/1 Points] DETAILS LCALCCON5 3.6.023. A store has determined that the number of Blu-ray movies sold monthly is approximately "(x) = 6250(0.926*) movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(X) = dollars (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars. P(X ) = dollars (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profil Rate of change career change price (dollars per dollar) (dollars per dollar) $13 $14 $20 $21 $22 (d) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price? There is a range of prices beginning near $14 for which the rate of change of revenue is (Select- * ) (revenue is (-Select.. . ) ) while the rate of change of profit is Select- w ) (profit is Select ) ) Need Help? Read ! 3. [-/1 Points] DETAILS LCALCCON5 3.6.501.XP. The accompanying table gives the number of men 65 years or older in the United States and the percentage of men age 65 or older living below the poverty level. Year Men 65 years or older, m (millions) Percentage below poverty level, p 1970 B.3 20.2 1980 10.3 11.1 1985 11.0 8.7 1990 12.6 7.8 1997 14.0 7.0 2000 14.4 7.5 (a) Using time as the input, find a linear model for the data set for the number men 65 years or older in the United States. (Let x be the years since 1970. Round all numerical values to three decimal places.) m(x) = million men Using time as the input, find a quadratic model for the data set for the percentage of men age 65 or older below poverty level. (Let x be the years since 1970. Round all numerical values to three decimal places.) P(X) = (b) Write an expression for the number of men 65 years or older who are living below the poverty level in the United States. n(x)= million men (c) How rapidly was the number of male senior citizens living below the poverty level changing in 1975 and in 19857 (Round your answer to three decimal places.) 1975 million men per year 1985 million men per year Need Help? Read Is