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- Medical research indicates that the risk of having a car accident increasesexponentially as the concentration of alcohol in the blood increases. The risk is modeled by R = 6e12.77x, where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 17% risk of a car accident? How is this shown on the graph of R in the herewith given Figure?What does the 0 being less than or equal to t which is less than or equal to 8 come into play? or how do I use it? or what do I do with it for this problem? An approximate model for the function is S(t) =2.48t^2 + 5.71t + 84 where 0 </= t </= 8 where S is the sales (in millions of dollars) and t = 0 represents 2000. Complete the table and compare the results with the data in the graph. t 0 1 2 3 4 5 6 7 8 S(t)How did you apply the concept of maxima/minima in answering the problem? Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed to get to his house in the least amount of time?
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- A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost y as a function of the hours c?At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 500 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So the number of pounds of grapes produced per acre is modeled by A(n) = (500 + n)(10 − 0.01n) where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.Suppose a certain medication is administered to a patient with the percent of concentration of the drug in the 4t bloodstream t hours later given by K(t) = (4t) / (3t2 + 27). a. At what time does the drug reach its maximum? b. On what time interval is the concentration of the medication increasing? c. On what intervals is it decreasing? d. What happens to the drug concentration as time increases, that is as t -> infinity?
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