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Figure (A) Shows a Vacant Lot with a 100-Ft Frontage

question 289

Multiple Choice

Figure (a) shows a vacant lot with a 100-ft frontage in a development.To estimate its area, we introduce a coordinate system so that the x-axis coincides with the edge of the straight road forming the lower boundary of the property, as shown in Figure (b) .Then, thinking of the upper boundary of the property as the graph of a continuous function f over the interval [0, 100], we see that the problem is mathematically equivalent to that of finding the area under the graph of f on [0, 100].To estimate the area of the lot using a Riemann sum, we divide the interval [0, 100] into five equal subintervals of length 20 ft.Then, using surveyor's equipment, we measure the distance from the midpoint of each of these subintervals to the upper boundary of the property.These measurements give the values of f(x) at x = 10, 30, 50, 70, and 90.What is the approximate area of the lot?

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a specific period.

Economic Efficiency

A scenario in which the allocation of resources is aimed at maximizing the creation of goods and services.

Benefits Exceed

A term indicating that the advantages or positive outcomes of a decision or situation outweigh the costs or negative outcomes.

Activity Costs

The expenses associated with specific activities or processes within a business, often analyzed for cost management purposes.