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!
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
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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