Provide an appropriate response.State University has seen an increase in the number of students majoring in Native American Studies. The graph below shows the number of students with this major for the past six years.
Use the graph to write six ordered pairs that represent the number of Native American Studies majors for the years shown. Is this relation a function?
A. {(1, 100), (2, 200), (3, 400), (4, 650), (5, 900), (6, 1050)}; yes
B. {(100, 1), (200, 2), (400, 3), (650, 4), (900, 5), (1050, 6)}; yes
C. {(100, 1), (200, 2), (400, 3), (650, 4), (900, 5), (1050, 6)}; no
D. {(1, 100), (2, 200), (3, 400), (4, 650), (5, 900), (6, 1050)}; no
Answer: A
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Animal type A and animal Type B compete for the same resources. Suppose there are a animals of type A and b animals of type B. Both a and b are measured in thousands. Then the growth rates of the two types of animals are given by
Growth rate for Type A: Growth rate for Type B:
A: Equilibrium occurs when both growth rates are 0. Find two expressions of ?b in terms of ?a when equilibrium occurs. Round your answers to two decimal places, if necessary.B: Plot the graphs of ?b versus ?a for both the expressions you found in part A. Be sure your graph shows the crossing point.C: How many of each type of animal is present when equilibrium occurs? Round your answers to two decimal places, if necessary.
What will be an ideal response?
Solve the formula for the indicated variable.L = for k
A. k =
B. k =
C. k =
D. k = 2WL2
Solve.Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship.Represent the data in the table graphically with elapsed time on the horizontal axis and the amount of dissolved chlorine on the vertical axis. What general trend do the data reflect?
What will be an ideal response?
Graph the function.f(x) = (x + 1)(x + 2)(x + 5)2
A.
B.
C.
D.