Relative change in QQ1Q0Q0270300300110 The relative change in P P is change in

Relative change in qq1q0q0270300300110 the relative

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Relative change in Q=Q1−Q0Q0=270−300300=−110. The relative change in P P is change in PP = P 1 −P 0 P 0 change in PP=P1−P0P0, where P 1 P1 is the increased price and P 0 P0 is the original price. We have Relative Change in P= 1.50−11 = .501 ≈0.50 Relative Change in P=1.50−11=.501≈0.50 The elasticity is Elasticity =∣∣∣ −11012 ∣∣∣= 210 =0.20 Elasticity =|−11012|=210=0.20 Question 7 1.67 / 1.67 pts The table below shows the wind chill temperature, T, in degrees Fahrenheit when the ambient temperature is 20F, as a function of the wind speed in miles per hour (mph). Calculate the average rate of change in the wind chill temperature (in degrees F per mph) when the wind speed changes from 0 to 20 mph. The average rate of change here gives us the change in the windchill temperature for a 1 mph increase in windspeed (on average). wind (mph) 0 5 10 15 20 2 5 30 35 windchill temp (F) 20 13 9 6 4 3 1 0 Correct!
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-0.8 F per mph -2.5 F per mph 4 F per mph -1.4 F per mph -0.2 F per mph The average rate of change (in windchill temp per mph) is the change in windchill divided by the change in windspeed: Average Rate of Change of windchill = 4−2020−0 = −1620 =−0.8 F per mph. Average Rate of Change of windchill =4−2020−0=−1620=−0.8 F per mph. Question 8 1.67 / 1.67 pts The table below shows the Earth's atmospheric pressure p in kiloPascals (kPa) as a function of the altitude h, in kilometers (km), so p = f(h). Is f(h) an increasing function or decreasing function? Is it concave up, concave down, or linear? h (altitude in km) 0 2 4 6 8 10 p = f(h) (pressure in kPa) 100 80 6 2 47 35 27 f(x) is increasing and concave down. f(x) is increasing and concave up. Correct!
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f(x) is decreasing and concave up. f(x) is decreasing and concave down. f(x) is decreasing linearly. f(x) f(x) is decreasing. Notice that the size of the decrease is getting smaller as x x gets larger. This means that f(x) f(x) is concave up. This may be more clear by looking at a plot plot of the points in the table Question 9 1.66 / 1.66 pts
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A graph of a function f(x) is shown above. On the interval [a,b], state whether f(x) is increasing or decreasing. Also whether f(x) is concave up, concave down, or linear on the interval [a,b]. The function f(x) is decreasing and concave down on the interval [a,b]. Correct! The function f(x) is decreasing and concave up on the interval [a,b]. The function f(x) is increasing and concave down on the interval [a,b]. The function is decreasing and linear on the interval [a,b]. The function f(x) is increasing and concave up on the interval [a,b]. The function f(x) f(x) is decreasing and concave up on the interval [a,b] [a,b]. Question 10 1.67 / 1.67 pts
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A local shop specializes in selling smoothies. Suppose the shop has fixed monthly costs of $8,600 per month and the variable costs are $2.25 per smoothie made on site. Each smoothie sells for $5.75. Find the firm's profit function. P(x)=x−8600 P(x)=x−8600 P(x)=7x 2 −3.50x−86000 P(x)=7x2−3.50x−86000 Correct!
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