1. a 20-acre field produces 300 bushels of wheat. let w represent the number of bushels produced by a 50-acre field at the same rate. select the correct statement of the given condition.
a. 20/300 = 50/w
b. 20/w = 50/300
c. 20/300 = w/50
d. 20/50 = w/300
2. w varies inversely as the square of t. if w = 12 when t = 2, find t when w = 27.
a. 27t = 24
b. 27t² = 48
c. 108 = 12t²
d. 12t = 54
3. the pressure p of a compressed gas is inversely proportional to the volume v. if there is 3 pressure of 25 pounds per square inch when the volume of gas 400 cubic inches, find the pressure when the gas is compressed to 200 cubic inches.
a. 200p = 1
b. 25p = 8
c. 400p = 5000
d. none of the above
4. an experimental drug is given to 100 people with a certain ailment. fifty-three of these people were cured by the drug. select the statement of condition for the expectation if a cure c if 2000 people with the ailment are given the drug.
a. c/53 = 100/2000
b. 10/53 = c/200
c. c/2000 = 53/100
d. 100/53 = c/2000

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.