Three small parts of question left.Only final answers needed
Brian_1234
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2. 0.75/1 points | Previous AnswersLCalcCon5 5.1.007.
A student estimates that his daily commute to college consists of 10 minutes driving at a speed of 30 mph to a divided highway, followed by 5 minutes in which he accelerates to 60 miles per hour, and 15 minutes driving at 60 mph before slowing to exit and enter the parking lot. The figure shows his velocity in terms of time.
(a) What are the units of measure of height, width, and area of the region between the speed graph and the horizontal axis?
height miles per hour
width hours
area miles
(b) How far does the student drive on his commute from home before exiting to the parking lot? (Round your answer to one decimal place.) 26.7 mi
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4. 0.72/1 points | Previous AnswersLCalcCon5 4.5.016.
A golf ball manufacturer knows the cost associated with various hourly production levels, given below. Production Costs for Golf Balls
Production (hundred balls b)
Cost (dollars C)
2 246
5 353
8 427
11 495
14 541
17 568
20 618
(a) Write the function for the cubic model that gives the production costs for golf balls in dollars where b is the hourly production level in hundred balls, with data from (Round all numerical values to three decimal places.)
=
0.044b3−2.206b2+49.446b+154.982
dollars
(b) If 1000 balls are currently being produced each hour, calculate the marginal cost at that level of production. (Round your answer to three decimal places.) $ 18.526 per hundred balls Interpret the result. (Round your numerical answer to three decimal places.)
At an hourly production level of 1000 golf balls, production cost is increasing by $ 18.526 per hundred golf balls.
(c) Construct the function for the model that gives average cost in dollars per hundred balls where b is the hourly production level in hundred balls, with data from (Round all numerical values to three decimal places.)
=
0.044b3−2.206b2+49.446b+154.982b
dollars per hundred balls
(d) Calculate the rate of change of average cost for hourly production levels of 1000 golf
2 ≤ b ≤ 20.
C(b)
2 ≤ b ≤ 20.
C(b)
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balls. (Round your answer to three decimal places.) $ 5.175 per hundred balls per hundred balls Interpret the result. (Round your numerical answer to three decimal places.)
At an hourly production level of 1000 golf balls, average production cost is decreasing by $ 5.175 per hundred golf balls per hundred golf balls.
12/6/2017 Word Problems (3.33.6)
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3. 0.6/1 points | Previous AnswersLCalcCon5 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 8.3 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) =
0.209x+8.208
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) =
0.022x2−1.085x+20.07
%
(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) =
1100 (0.209x+8.208)(0.022x2−1.085x+20.07)
million men
(c) How rapidly was the number of male senior citizens living below the poverty level changing in 1980 and in 1990? (Round your answer to three decimal places.)
12/6/2017 Word Problems (3.33.6)
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1980 0.018 million men per year
1990 0.09 million men per year
