The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
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A. 
B. 
C. 
D. 
E. 
Answer: A
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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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A. 7,900 sq ft
B. 8,600 sq ft
C. 8,100 sq ft
D. 8,400 sq ft
Solve the problem.The graph shows the amount of money, y, a plumber charges for x hours of work. What is the fixed cost to hire the mechanic?
A. $40 B. $25 C. $70 D. $35
Simplify.
A. -19 B. 8 C. -2 D. -8
Divide.
A. undefined B. 1 C. 34 D. 0